Least energy nodal solutions for a weighted ( N , p ) $(N, p)$ -Schrödinger problem involving a continuous potential under exponential growth nonlinearity

Abstract This article aims to investigate the existence of nontrivial solutions with minimal energy for a logarithmic weighted ( N , p ) $(N,p)$ -Laplacian problem in the unit ball B of R N $\mathbb{R}^{N}$ , N > 2 $N>2$ . The nonlinearities of the equation are critical or subcritical growth,...

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Bibliographic Details

Published in:	Boundary Value Problems
Main Authors:	Sami Baraket, Brahim Dridi, Azedine Grine, Rached Jaidane
Format:	Article
Language:	English
Published:	SpringerOpen 2024-01-01
Subjects:	( N , p ) $(N,p)$ -Laplacian Moser–Trudinger’s inequality Nonlinearity of exponential growth Sign-changing solutions Quantitative deformation lemma Degree theory
Online Access:	https://doi.org/10.1186/s13661-024-01829-3