Nodal solutions for Logarithmic weighted (N, p)-Laplacian problem with exponential nonlinearities

2023/04/23 by Rima Chetouane, chetouane, Rima, Brahim Dridi +3
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Contact Mechanics and Variational Inequalities #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2304.11612

Abstract

The main purpose of this paper is to study the existence of least energy sign-changing solutions for Logarithmic weighted (N,p)-Laplacian problem in the unit ball B of ℝ^N, N>2. The non-linearity of the equation is assumed to have exponential growth in view of Trudinger-Moser type inequalities. In order to obtain our existence result, we use the constrained minimization in Nehari set, the quantitative deformation Lemma and degree theory results.

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