Anisotropic $ (\vec{p}, \vec{q}) $-Laplacian problems with superlinear nonlinearities-Reference-Cited by-同舟云学术

Anisotropic $ (\vec{p}, \vec{q}) $-Laplacian problems with superlinear nonlinearities

Published:2024 Issue:1 Volume:16 Page:1-23
ISSN:2836-3310
Container-title:Communications in Analysis and Mechanics
language:
Short-container-title:CAM

Author:

Amoroso Eleonora¹,Sciammetta Angela²,Winkert Patrick³

Affiliation:

1. Department of Engineering, University of Messina, 98166 Messina, Italy

2. Department of Mathematics and Computer Science, University of Palermo, 90123 Palermo, Italy

3. Technische Universität Berlin, Institut für Mathematik, Straße des 17. Juni 136, 10623 Berlin, Germany

Abstract

<abstract><p>In this paper we consider a class of anisotropic $ (\vec{p}, \vec{q}) $-Laplacian problems with nonlinear right-hand sides that are superlinear at $ \pm\infty $. We prove the existence of two nontrivial weak solutions to this kind of problem by applying an abstract critical point theorem under very general assumptions on the data without supposing the Ambrosetti-Rabinowitz condition.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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