Differential and Integral Equations

Multiplicity result for some degenerate elliptic problem involving critical exponential growth in $\mathbb{R}^N$

Sami Aouaoui

Abstract

In this paper, we study some nonhomogeneous degenerate elliptic equation in dimension $N,$ $N \geq 3$ with nonlinearity term having an exponential growth and does not satisfy the Ambrosetti-Rabinowitz (AR) condition. Using a variational tools, we establish the existence of at least two positive solutions.

Article information

Source
Differential Integral Equations, Volume 28, Number 3/4 (2015), 255-270.

Dates
First available in Project Euclid: 4 February 2015

Aouaoui, Sami. Multiplicity result for some degenerate elliptic problem involving critical exponential growth in $\mathbb{R}^N$. Differential Integral Equations 28 (2015), no. 3/4, 255--270. https://projecteuclid.org/euclid.die/1423055227