An approximation theorem for solutions of degenerate semilinear elliptic equations
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
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| Format: | Article |
| Language: | English |
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Sciendo
2017-06-01
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| Series: | Communications in Mathematics |
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| Online Access: | https://doi.org/10.1515/cm-2017-0004 |
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Article |
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doaj-c2ef3dcf10f4413fa41185bb1b944ad62021-09-06T19:19:41ZengSciendoCommunications in Mathematics2336-12982017-06-01251213410.1515/cm-2017-0004cm-2017-0004An approximation theorem for solutions of degenerate semilinear elliptic equationsCavalheiro Albo Carlos0Department of Mathematics, State University of Londrina, Londrina - PR - BrazilThe main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.https://doi.org/10.1515/cm-2017-0004degenerate semilinear elliptic equationsweighted sobolev spaces |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cavalheiro Albo Carlos |
| spellingShingle |
Cavalheiro Albo Carlos An approximation theorem for solutions of degenerate semilinear elliptic equations Communications in Mathematics degenerate semilinear elliptic equations weighted sobolev spaces |
| author_facet |
Cavalheiro Albo Carlos |
| author_sort |
Cavalheiro Albo Carlos |
| title |
An approximation theorem for solutions of degenerate semilinear elliptic equations |
| title_short |
An approximation theorem for solutions of degenerate semilinear elliptic equations |
| title_full |
An approximation theorem for solutions of degenerate semilinear elliptic equations |
| title_fullStr |
An approximation theorem for solutions of degenerate semilinear elliptic equations |
| title_full_unstemmed |
An approximation theorem for solutions of degenerate semilinear elliptic equations |
| title_sort |
approximation theorem for solutions of degenerate semilinear elliptic equations |
| publisher |
Sciendo |
| series |
Communications in Mathematics |
| issn |
2336-1298 |
| publishDate |
2017-06-01 |
| description |
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations. |
| topic |
degenerate semilinear elliptic equations weighted sobolev spaces |
| url |
https://doi.org/10.1515/cm-2017-0004 |
| work_keys_str_mv |
AT cavalheiroalbocarlos anapproximationtheoremforsolutionsofdegeneratesemilinearellipticequations AT cavalheiroalbocarlos approximationtheoremforsolutionsofdegeneratesemilinearellipticequations |
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1717778093956923392 |