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\n  \n 2022\n \n \n (2)\n \n \n
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\n \n\n \n \n \n \n \n Fu˘cik Spectrum with weights and existences of solutions for nonlinear elliptic equations with nonlinear boundary conditions.\n \n \n \n\n\n \n Mavinga, N.; Morris, Q.; and Robinson, S.\n\n\n \n\n\n\n To appear in Electron. J. Differential Equations. 2022.\n \n\n\n\n
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@article{Mavinga,\n\tAuthor = {Mavinga, N. and Morris, Q. and Robinson, S.},\n\tJournal = {To appear in Electron. J. Differential Equations},\n\tKeywords = {pure},\n\tTitle = {Fu\\u{c}ik Spectrum with weights and existences of solutions for nonlinear elliptic equations with nonlinear boundary conditions},\n\tYear = {2022}}\n\t\n
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\n \n\n \n \n \n \n \n Convergence, stability analysis, and solvers for approximating sublinear positone and semipositone boundary value problems using finite difference methods.\n \n \n \n\n\n \n Lewis, T.; Morris, Q.; and Zhang, Y.\n\n\n \n\n\n\n J. Comput. Appl. Math., 404: 113880. 2022.\n \n\n\n\n
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@article{Tom,\n\tAuthor = {Lewis, T. and Morris, Q. and Zhang, Y.},\n\tJournal = {J. Comput. Appl. Math.},\n\tKeywords = {applied},\n\tTitle = {Convergence, stability analysis, and solvers for approximating sublinear positone and semipositone boundary value problems using finite difference methods},\n\tYear = {2022},\n\tVolume = {404},\n\tPages={113880}}\t\n\n
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\n  \n 2020\n \n \n (2)\n \n \n
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\n \n\n \n \n \n \n \n Analysis of steady states for classes of reaction-diffusion equations with hump-shaped density dependent dispersal on the boundary.\n \n \n \n\n\n \n Morris, Q.; Nash, J.; and Payne, C.\n\n\n \n\n\n\n Involve, 13(1): 9-19. 2020.\n \n\n\n\n
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@article{Jessica,\n\tAuthor = {Morris, Q. and Nash, J. and Payne, C.},\n\tJournal = {Involve},\n\tKeywords = {applied},\n\tTitle = {Analysis of steady states for classes of reaction-diffusion equations with hump-shaped density dependent dispersal on the boundary},\n\tYear = {2020},\n\tVolume = {13},\n\tNumber = {1},\n\tPages={9-19}}\n\t\n
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\n \n\n \n \n \n \n \n On the effects of the exterior matrix hostility and a U-shaped density dependent dispersal on a diffusive logistic growth model.\n \n \n \n\n\n \n Fonseka, N.; Goddard II, J.; Morris, Q.; Shivaji, R.; and Son, B.\n\n\n \n\n\n\n Discrete Contin. Dyn. Syst. Ser. S, 13(12): 3401-3415. 2020.\n \n\n\n\n
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@article{Nalin,\n\tAuthor = {Fonseka, N. and Goddard II, J. and Morris, Q. and Shivaji, R. and Son, B.},\n\tJournal = {Discrete Contin. Dyn. Syst. Ser. S},\n\tKeywords = {applied},\n\tTitle = {On the effects of the exterior matrix hostility and a {U}-shaped density dependent dispersal on a diffusive logistic growth model},\n\tYear = {2020},\n\tVolume = {13},\n\tNumber = {12},\n\tPages={3401-3415}}\n\n\n
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\n  \n 2019\n \n \n (1)\n \n \n
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\n \n\n \n \n \n \n \n \n A diffusive logistic equation with U-shaped density dependent dispersal on the boundary.\n \n \n \n \n\n\n \n Goddard II, J.; Morris, Q.; Payne, C.; and Shivaji, R.\n\n\n \n\n\n\n Topol. Methods Nonlinear Anal., 53(1): 335–349. 2019.\n \n\n\n\n
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@article{Goddard2017ip,\n\tAuthor = {Goddard II, J. and Morris, Q. and Payne, C. and Shivaji, R.},\n\tDate-Modified = {2018-12-10 21:54:37 +0000},\n\tJournal = {Topol. Methods Nonlinear Anal.},\n\tKeywords = {applied},\n\tTitle = {A diffusive logistic equation with U-shaped density dependent dispersal on the boundary},\n\tVolume={53},\n\tNumber={1},\n\tPages={335--349},\n\tYear = {2019},\n\tUrl={https://projecteuclid.org/euclid.tmna/1547434818}}\n\n
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\n  \n 2018\n \n \n (3)\n \n \n
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\n \n\n \n \n \n \n \n \n An exact bifurcation diagram for a reaction diffusion equation arising in population dynamics.\n \n \n \n \n\n\n \n Goddard II, J.; Morris, Q.; Robinson, S.; and Shivaji, R.\n\n\n \n\n\n\n Bound. Value Probl., 2018(1): 170. 2018.\n \n\n\n\n
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@article{Goddard20174,\n\tAuthor = {Goddard II, J. and Morris, Q. and Robinson, S. and Shivaji, R.},\n\tDate-Added = {2017-09-21 01:16:27 +0000},\n\tDate-Modified = {2018-12-10 21:59:58 +0000},\n\tDoi = {10.1186/s13661-018-1090-z},\n\tJournal = {Bound. Value Probl.},\n\tKeywords = {applied},\n\tNumber = {1},\n\tPages = {170},\n\tTitle = {An exact bifurcation diagram for a reaction diffusion equation arising in population dynamics},\n\tUrl = {https://doi.org/10.1186/s13661-018-1090-z},\n\tVolume = {2018},\n\tYear = {2018}}\n\n
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\n \n\n \n \n \n \n \n \n Bifurcation curves for some singular and nonsingular problems with nonlinear boundary conditions.\n \n \n \n \n\n\n \n Goddard II, J.; Morris, Q.; Son, B.; and Shivaji, R.\n\n\n \n\n\n\n Electron. J. Differential Equations, 2018(26): 1-12. 2018.\n \n\n\n\n
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@article{Morris20172,\n\tAuthor = {Goddard II, J. and Morris, Q. and Son, B. and Shivaji, R.},\n\tDate-Modified = {2018-04-16 02:12:21 +0000},\n\tFjournal = {Electron. J. Differential Equations},\n\tJournal = {Electron. J. Differential Equations},\n\tKeywords = {pure},\n\tNumber = {26},\n\tPages = {1-12},\n\tTitle = {Bifurcation curves for some singular and nonsingular problems with nonlinear boundary conditions},\n\tVolume = {2018},\n\tYear = {2018},\n\tUrl={https://ejde.math.txstate.edu/Volumes/2018/26/abstr.html}}\n\n
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\n \n\n \n \n \n \n \n \n Existence of a positive radial solution for superlinear, semipositone $p$-Laplacian problem on the exterior of a ball.\n \n \n \n \n\n\n \n Morris, Q.; Shivaji, R.; and Sim, I.\n\n\n \n\n\n\n Proc. Roy. Soc. Edinburgh Sect. A, 148(2): 409-428. 2018.\n \n\n\n\n
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@article{Morris20171,\n\tAbstract = {We prove the existence of positive radial solutions to a class of semipositone p-Laplacian problems on the exterior of a ball subject to Dirichlet and nonlinear boundary conditions. Using variational methods we prove the existence of a solution, and then use a priori estimates to prove the positivity of the solution.},\n\tAuthor = {Morris, Q. and Shivaji, R. and Sim, I.},\n\tDate-Modified = {2018-04-16 03:10:00 +0000},\n\tDoi = {10.1017/S0308210517000452},\n\tFjournal = {Royal Society of Edinburgh. Section A. Mathematics},\n\tJournal = {Proc. Roy. Soc. Edinburgh Sect. A},\n\tKeywords = {pure},\n\tNumber = {2},\n\tPages = {409-428},\n\tTitle = {Existence of a positive radial solution for superlinear, semipositone $p$-{L}aplacian problem on the exterior of a ball},\n\tVolume = {148},\n\tYear = {2018},\n\tUrl = {http://dx.doi.org/10.1017/S0308210517000452}}\n\n
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\n We prove the existence of positive radial solutions to a class of semipositone p-Laplacian problems on the exterior of a ball subject to Dirichlet and nonlinear boundary conditions. Using variational methods we prove the existence of a solution, and then use a priori estimates to prove the positivity of the solution.\n
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\n  \n 2017\n \n \n (1)\n \n \n
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\n \n\n \n \n \n \n \n \n Analysis of classes of superlinear semipositone problems with nonlinear boundary conditions.\n \n \n \n \n\n\n \n Morris, Q.\n\n\n \n\n\n\n Ph.D. Thesis, The University of North Carolina at Greensboro, 2017.\n \n\n\n\n
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@phdthesis{Morris20173,\n\tAuthor = {Morris, Q.},\n\tKeywords = {pure},\n\tSchool = {The University of North Carolina at Greensboro},\n\tTitle = {Analysis of classes of superlinear semipositone problems with nonlinear boundary conditions},\n\tUrl = {https://libres.uncg.edu/ir/uncg/f/Morris_uncg_0154D_12296.pdf},\n\tYear = 2017,\n\tUrl = {https://libres.uncg.edu/ir/uncg/f/Morris_uncg_0154D_12296.pdf}}\n\n
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\n \n\n \n \n \n \n \n \n Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball.\n \n \n \n \n\n\n \n Dhanya, R.; Morris, Q.; and Shivaji, R.\n\n\n \n\n\n\n J. Math. Anal. Appl., 434(2): 1533–1548. 2016.\n \n\n\n\n
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@article{Dhanya2015,\n\tAuthor = {Dhanya, R. and Morris, Q. and Shivaji, R.},\n\tDoi = {10.1016/j.jmaa.2015.07.016},\n\tFjournal = {Journal of Mathematical Analysis and Applications},\n\tJournal = {J. Math. Anal. Appl.},\n\tKeywords = {pure},\n\tNumber = {2},\n\tPages = {1533--1548},\n\tPublisher = {Elsevier},\n\tTitle = {Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball},\n\tVolume = {434},\n\tYear = {2016},\n\tUrl = {http://dx.doi.org/10.1016/j.jmaa.2015.07.016}}\n\n
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\n \n\n \n \n \n \n \n \n A Landesman-Lazer condition for the boundary value problem $-u''= au^{+} -bu^{-} + g (u) $ with periodic boundary conditions.\n \n \n \n \n\n\n \n Morris, Q.; and Robinson, S.\n\n\n \n\n\n\n In Proceedings of the Ninth Mississippi State–UAB Conference on Differential Equations and Computational Simulations, volume 20, of Electron. J. Differ. Equ. Conf., pages 103–117, 2013. \n \n\n\n\n
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@inproceedings{Morris2013,\n\tAuthor = {Morris, Q. and Robinson, S.},\n\tBooktitle = {Proceedings of the {N}inth {M}ississippi {S}tate--{UAB} {C}onference on {D}ifferential {E}quations and {C}omputational {S}imulations},\n\tKeywords = {pure},\n\tPages = {103--117},\n\tSeries = {Electron. J. Differ. Equ. Conf.},\n\tTitle = {A {L}andesman-{L}azer condition for the boundary value problem $-u''= au^{+} -bu^{-} + g (u) $ with periodic boundary conditions},\n\tUrl = {https://ejde.math.txstate.edu/conf-proc/20/m1/abstr.html},\n\tVolume = {20},\n\tYear = {2013},\n\tUrl= {https://ejde.math.txstate.edu/conf-proc/20/m1/abstr.html}}\n\n
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\n \n\n \n \n \n \n \n \n Resonance problems of the Fu˘cík spectrum using variational methods.\n \n \n \n \n\n\n \n Morris, Q.\n\n\n \n\n\n\n Master's thesis, Wake Forest University, 2012.\n \n\n\n\n
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@mastersthesis{Morris2012,\n\tAuthor = {Morris, Q.},\n\tKeywords = {pure},\n\tSchool = {Wake Forest University},\n\tTitle = {Resonance problems of the Fu\\u{c}\\'{i}k spectrum using variational methods},\n\tUrl = {https://wakespace.lib.wfu.edu/handle/10339/37243},\n\tYear = 2012,\n\tUrl = {https://wakespace.lib.wfu.edu/handle/10339/37243}}\n\n
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\n \n\n \n \n \n \n \n \n Analysis of a co-epidemic model.\n \n \n \n \n\n\n \n Morris, Q.\n\n\n \n\n\n\n SIURO, 4: 121–133. 2011.\n \n\n\n\n
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@article{Morris2011,\n\tAuthor = {Morris, Q.},\n\tDoi = {10.1137/11S010852},\n\tJournal = {SIURO},\n\tKeywords = {applied},\n\tPages = {121--133},\n\tPublisher = {SIAM},\n\tTitle = {Analysis of a co-epidemic model},\n\tVolume = {4},\n\tYear = {2011},\n\tUrl = {http://dx.doi.org/10.1137/11S010852}}\n
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