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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Universidad Nacional Mayor de San Marcos
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doaj-f8284c1d30444632a9f47166fa1f9b162020-11-24T21:17:45ZspaUniversidad Nacional Mayor de San MarcosPesquimat1560-912X1609-84392017-09-0120111710.15381/pes.v20i1.1375312024Nonlinear Elliptic Equations with Maximal Growth RangeYony Raúl Santaria Leuyacc0Universidade de São Paulo, ICMC. Brasil.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.http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/13753Nonlinear elliptic equationsexponential growthmountain pass theorem |
collection |
DOAJ |
language |
Spanish |
format |
Article |
sources |
DOAJ |
author |
Yony Raúl Santaria Leuyacc |
spellingShingle |
Yony Raúl Santaria Leuyacc Nonlinear Elliptic Equations with Maximal Growth Range Pesquimat Nonlinear elliptic equations exponential growth mountain pass theorem |
author_facet |
Yony Raúl Santaria Leuyacc |
author_sort |
Yony Raúl Santaria Leuyacc |
title |
Nonlinear Elliptic Equations with Maximal Growth Range |
title_short |
Nonlinear Elliptic Equations with Maximal Growth Range |
title_full |
Nonlinear Elliptic Equations with Maximal Growth Range |
title_fullStr |
Nonlinear Elliptic Equations with Maximal Growth Range |
title_full_unstemmed |
Nonlinear Elliptic Equations with Maximal Growth Range |
title_sort |
nonlinear elliptic equations with maximal growth range |
publisher |
Universidad Nacional Mayor de San Marcos |
series |
Pesquimat |
issn |
1560-912X 1609-8439 |
publishDate |
2017-09-01 |
description |
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. |
topic |
Nonlinear elliptic equations exponential growth mountain pass theorem |
url |
http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/13753 |
work_keys_str_mv |
AT yonyraulsantarialeuyacc nonlinearellipticequationswithmaximalgrowthrange |
_version_ |
1726012333465010176 |