On a nonlinear fourth order elliptic system with critical growth in first order derivatives. Strzelecki, P. & Zatorska-Goldstein, A. Adv. Calc. Var., 1(2):205–222, 2008.
On a nonlinear fourth order elliptic system with critical growth in first order derivatives [link]Paper  doi  bibtex   
@article {MR2427453,
    AUTHOR = {Strzelecki, Pawe\l  and Zatorska-Goldstein, Anna},
     TITLE = {On a nonlinear fourth order elliptic system with critical
              growth in first order derivatives},
   JOURNAL = {Adv. Calc. Var.},
  FJOURNAL = {Advances in Calculus of Variations},
    VOLUME = {1},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {205--222},
      ISSN = {1864-8258},
   MRCLASS = {35J55 (35B65 35J40 35J60 42B35)},
  MRNUMBER = {2427453},
MRREVIEWER = {Antonio Tarsia},
       DOI = {10.1515/ACV.2008.008},
       URL = {https://doi.org/10.1515/ACV.2008.008},
}

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