Nonlinear Elliptic Equations with Maximal Growth Range
In this work we are interested in studying the existence of nontrivial weak solutions for a class of nonlinear elliptic equations defined in a bounded domain in dimension two, where the nonlinearities possess maximal exponential growth range motivated by Trudinger-Moser inequalities in Lorentz-Sobol...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional Mayor de San Marcos
2017-09-01
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| Series: | Pesquimat |
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| Online Access: | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/13753 |
| Summary: | In this work we are interested in studying the existence of nontrivial weak solutions for a class of nonlinear elliptic equations defined in a bounded domain in dimension two, where the nonlinearities possess maximal exponential growth range motivated by Trudinger-Moser inequalities in Lorentz-Sobolev spaces. In order to study the solvability we use a variational approach. More specifically, we use mountain pass theorem combined with Trudinger-Moser type inequalities. |
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| ISSN: | 1560-912X 1609-8439 |