Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge
We investigate the behavior of weak solutions to the mixed problem with Neumann and Robin boundary conditions for an elliptic quasi-linear second-order equation with the variable $p(x)$-Laplacian in a neighborhood of the boundary edge.
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| Format: | Article |
| Language: | English |
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Texas State University
2025-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/51/abstr.html |
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| _version_ | 1849341314573795328 |
|---|---|
| author | Mikhail Borsuk |
| author_facet | Mikhail Borsuk |
| author_sort | Mikhail Borsuk |
| collection | DOAJ |
| description | We investigate the behavior of weak solutions to the mixed problem
with Neumann and Robin boundary conditions
for an elliptic quasi-linear second-order equation with the variable
$p(x)$-Laplacian in a neighborhood of the boundary edge. |
| format | Article |
| id | doaj-art-83c46fea5a7f40bbaeb9ff4fb90a5905 |
| institution | Kabale University |
| issn | 1072-6691 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj-art-83c46fea5a7f40bbaeb9ff4fb90a59052025-08-20T03:43:40ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912025-05-01202551,130Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edgeMikhail Borsuk0 Univ. of Warmia and Mazury in Olsztyn, Poland We investigate the behavior of weak solutions to the mixed problem with Neumann and Robin boundary conditions for an elliptic quasi-linear second-order equation with the variable $p(x)$-Laplacian in a neighborhood of the boundary edge.http://ejde.math.txstate.edu/Volumes/2025/51/abstr.htmlp(x)-laplacianboundary edgemixed problem neumann problemrobin problem |
| spellingShingle | Mikhail Borsuk Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge Electronic Journal of Differential Equations p(x)-laplacian boundary edge mixed problem neumann problem robin problem |
| title | Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge |
| title_full | Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge |
| title_fullStr | Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge |
| title_full_unstemmed | Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge |
| title_short | Neumann-Robin problem for p(x)-Laplacian equations in a domain with the boundary edge |
| title_sort | neumann robin problem for p x laplacian equations in a domain with the boundary edge |
| topic | p(x)-laplacian boundary edge mixed problem neumann problem robin problem |
| url | http://ejde.math.txstate.edu/Volumes/2025/51/abstr.html |
| work_keys_str_mv | AT mikhailborsuk neumannrobinproblemforpxlaplacianequationsinadomainwiththeboundaryedge |