Nonlinear Elliptic Equations with Maximal Growth Range
DOI:
https://doi.org/10.15381/pes.v20i1.13753Keywords:
Nonlinear elliptic equations, exponential growth, mountain pass theoremAbstract
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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Copyright (c) 2017 Yony Raúl Santaria Leuyacc
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