Multiplicity of solutions for an elliptic equation with exponential growth

被引：0
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作者：
Anderson L. A. de Araujo
Marcelo Montenegro
机构：
[1] Departamento de Matemática Avenida Peter Henry Rolfs,
[2] Universidade Federal de Viçosa,undefined
[3] Departamento de Matemática,undefined
[4] Universidade Estadual de Campinas,undefined
[5] IMECC,undefined
来源：
Nonlinear Differential Equations and Applications NoDEA | 2021年 / 28卷
关键词：
Elliptic equation; Existence of solution; Subcritical; Critical; Supercritical; Exponential growth; Fixed point theorem; Variational methods; Primary 35J61; Secondary 35B33; 35B38; 35J20; 35J25;
D O I：
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学科分类号：
摘要：
We prove existence of two solutions for an elliptic equation with exponential growth on a bounded domain. The first solution is obtained by an approximation scheme together with a fixed point theorem. The second solution is found by variational methods, and its expression is given by the sum of the first solution by other adequate function. The nonlinearities may have subcritical, critical or supercritical exponential growth.
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