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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 1, Pages 82–93
DOI: https://doi.org/10.17377/sibjim.2016.19.108 (Mi sjim914) 		 
On the existence of nonnegative solutions to the Dirichlet boundary value problem for the $p$-Laplace equation in presence of external mass forces

Ar. S. Tersenovab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2016.19.108
Abstract: Consider the Dirichlet problem for an inhomogeneous $p$-Laplace equation with nonlinear source in presence of external mass forces, we obtain new sufficient conditions for the existence of a weak nonnegative bounded solution. The conditions are written in explicit form in terms of the data of the problem.
Keywords: $p$-Laplace equation, regularized equation, a priori estimate.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-08275
Received: 26.06.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 1, Pages 115–125
DOI: https://doi.org/10.1134/S1990478916010130
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Ar. S. Tersenov, “On the existence of nonnegative solutions to the Dirichlet boundary value problem for the $p$-Laplace equation in presence of external mass forces”, Sib. Zh. Ind. Mat., 19:1 (2016), 82–93; J. Appl. Industr. Math., 10:1 (2016), 115–125
Citation in format AMSBIB
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\paper On the existence of nonnegative solutions to the Dirichlet boundary value problem for the $p$-Laplace equation in presence of external mass forces
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\jour J. Appl. Industr. Math.
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