On a class of nonhomogeneous elliptic problems involving exponential critical growth

Manassés de Souza, Everaldo Souto de Medeiros, Uberlandio Severo


In this paper we establish the existence of solutions for elliptic
equations of the form $-\text{div}(|\nabla u|^{n-2}\nabla u) +
V(x)|u|^{n-2}u=g(x,u)+\lambda h$ in $\mathbb{R}^n$ with $n\geq2$.
Here the potential $V(x)$ can change sign and the nonlinearity
$g(x,u)$ is possibly discontinuous and may exhibit exponential
growth. The proof relies on the application of a fixed point
result and a version of the Trudinger-Moser inequality.


Critical growth; Trudinger-Moser inequality; fixed point result; discontinuous nonlinearity

Full Text:



  • There are currently no refbacks.

Partnerzy platformy czasopism