An elliptic equation with random potential and supercritical nonlinearity

Revista Integración

L. C. F. Ferreira¹  L. Cioletti²  M. Furtado² 

[1] Universidade Estadual de Campinas, IMECC - Departamento de Matemática, Campinas, Brazil.;Universidade de Brasília, Departamento de Matemática, Brasília, Brazil.;

关键词: Elliptic equations;    Random potentials;    Random nonlinear equations;   

DOI  :  

来源: DOAJ

【 摘 要 】

We are concerned with a nonhomogeneous elliptic equation with random potential and supercritical nonlinearity. Existence of solution is obtained almost surely for a class of potentials that includes continuum and discrete ones. Also, we provide a law of larger numbers for the obtained solutions by independent ensembles and estimate the expected value for their L∞-norms.

【 授权许可】

Unknown