Luiz F. O. Faria, Marcelo Montenegro
Abstract:
We show the existence of a positive solution for the Schrodinger
quasilinear equation with variable exponents above the critical regime.
For that matter, we show an embedding into an Orlicz space of functions
modeled over radially symmetric domains.
Then we use a Galerkin method combined with a fixed-point argument
to obtain a solution.
Submitted March 14, 2024. Published July 30, 2024.
Math Subject Classifications: 65N30, 35B09, 35J60, 46E30.
Key Words: Positive solution; nonlinear elliptic equation; variable exponents.
DOI: 10.58997/ejde.2024.40
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Luiz F. O. Faria Universidade Federal de Juiz de Fora, ICE Departamento de Matemática Campus Universitário, Rua José Lourenço Kelmer, s/n, Juiz de Fora, MG, CEP 36036-900, Brazil email: luiz.faria@ufjf.edu.br |
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Marcelo Montenegro Universidade Estadual de Campinas, IMECC Departamento de Matemática Rua Sérgio Buarque de Holanda 651 Campinas, SP, CEP 13083-859, Brazil email: msm@ime.unicamp.br |
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