Nonlinear Elliptic Equations with Maximal Growth Range

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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Main Author: Yony Raúl Santaria Leuyacc
Format: Article
Language:Spanish
Published: Universidad Nacional Mayor de San Marcos 2017-09-01
Series:Pesquimat
Subjects:
Nonlinear elliptic equations
exponential growth
mountain pass theorem
Online Access:http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/13753
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spelling 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

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