SOME METRIC-SINGULAR PROPERTIES OF THE GRAPH OF SOLUTIONS OF THE ONE-DIMENSIONAL P-LAPLACIAN. Pasic, M. & Zupanovic, V. *ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS*, TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2004. abstract bibtex We study the asymptotic behaviour of epsilon-neighbourhood of the graph of a type of rapidly oscillating continuous functions. Next, we estate necessary and sufficient conditions for rapid oscillations of solutions of the main equation. This enables us to verify some new singular properties of bounded continuous solutions of a class of nonlinear p-Laplacian by calculating lower and upper bounds for the Minkowski content and the s-dimensional density of the graph of each solution and its derivative.

@article{WOS:000208969900060,
abstract = {We study the asymptotic behaviour of epsilon-neighbourhood of the graph
of a type of rapidly oscillating continuous functions. Next, we estate
necessary and sufficient conditions for rapid oscillations of solutions
of the main equation. This enables us to verify some new singular
properties of bounded continuous solutions of a class of nonlinear
p-Laplacian by calculating lower and upper bounds for the Minkowski
content and the s-dimensional density of the graph of each solution and
its derivative.},
address = {601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA},
author = {Pasic, Mervan and Zupanovic, Vesna},
issn = {1072-6691},
journal = {ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS},
keywords = {Nonlinear p-Laplacian; bounded solutions; qualitat},
publisher = {TEXAS STATE UNIV},
title = {{SOME METRIC-SINGULAR PROPERTIES OF THE GRAPH OF SOLUTIONS OF THE ONE-DIMENSIONAL P-LAPLACIAN}},
type = {Article},
year = {2004}
}

Downloads: 0

{"_id":"72SM6cHnKT8m234Q7","bibbaseid":"pasic-zupanovic-somemetricsingularpropertiesofthegraphofsolutionsoftheonedimensionalplaplacian-2004","author_short":["Pasic, M.","Zupanovic, V."],"bibdata":{"bibtype":"article","type":"Article","abstract":"We study the asymptotic behaviour of epsilon-neighbourhood of the graph of a type of rapidly oscillating continuous functions. Next, we estate necessary and sufficient conditions for rapid oscillations of solutions of the main equation. This enables us to verify some new singular properties of bounded continuous solutions of a class of nonlinear p-Laplacian by calculating lower and upper bounds for the Minkowski content and the s-dimensional density of the graph of each solution and its derivative.","address":"601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA","author":[{"propositions":[],"lastnames":["Pasic"],"firstnames":["Mervan"],"suffixes":[]},{"propositions":[],"lastnames":["Zupanovic"],"firstnames":["Vesna"],"suffixes":[]}],"issn":"1072-6691","journal":"ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS","keywords":"Nonlinear p-Laplacian; bounded solutions; qualitat","publisher":"TEXAS STATE UNIV","title":"SOME METRIC-SINGULAR PROPERTIES OF THE GRAPH OF SOLUTIONS OF THE ONE-DIMENSIONAL P-LAPLACIAN","year":"2004","bibtex":"@article{WOS:000208969900060,\nabstract = {We study the asymptotic behaviour of epsilon-neighbourhood of the graph\nof a type of rapidly oscillating continuous functions. Next, we estate\nnecessary and sufficient conditions for rapid oscillations of solutions\nof the main equation. This enables us to verify some new singular\nproperties of bounded continuous solutions of a class of nonlinear\np-Laplacian by calculating lower and upper bounds for the Minkowski\ncontent and the s-dimensional density of the graph of each solution and\nits derivative.},\naddress = {601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA},\nauthor = {Pasic, Mervan and Zupanovic, Vesna},\nissn = {1072-6691},\njournal = {ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS},\nkeywords = {Nonlinear p-Laplacian; bounded solutions; qualitat},\npublisher = {TEXAS STATE UNIV},\ntitle = {{SOME METRIC-SINGULAR PROPERTIES OF THE GRAPH OF SOLUTIONS OF THE ONE-DIMENSIONAL P-LAPLACIAN}},\ntype = {Article},\nyear = {2004}\n}\n","author_short":["Pasic, M.","Zupanovic, V."],"key":"WOS:000208969900060","id":"WOS:000208969900060","bibbaseid":"pasic-zupanovic-somemetricsingularpropertiesofthegraphofsolutionsoftheonedimensionalplaplacian-2004","role":"author","urls":{},"keyword":["Nonlinear p-Laplacian; bounded solutions; qualitat"],"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://bibbase.org/f/rTKwnBhyGKSSptYtt/My Collection.bib","dataSources":["DY3AeP9t2QujfB78L","MpTxM7aR49zFotABd"],"keywords":["nonlinear p-laplacian; bounded solutions; qualitat"],"search_terms":["metric","singular","properties","graph","solutions","one","dimensional","laplacian","pasic","zupanovic"],"title":"SOME METRIC-SINGULAR PROPERTIES OF THE GRAPH OF SOLUTIONS OF THE ONE-DIMENSIONAL P-LAPLACIAN","year":2004}