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arXiv · 2304.11612

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

Rima chetouane·Brahim Dridi·Rached Jaidane
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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 $\mathbb{R}^{N},$ $N>2$. 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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Rima chetouane, Brahim Dridi, Rached Jaidane. 2023-04-23. Nodal solutions for Logarithmic weighted $(N, p)$-Laplacian problem with exponential nonlinearities. https://arxiv.org/abs/2304.11612

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