May/June 2021 Existence of two positive solutions for anisotropic nonlinear elliptic equations
G. Bonanno, G. D'Aguì, A. Sciammetta
Adv. Differential Equations 26(5/6): 229-258 (May/June 2021). DOI: 10.57262/ade026-0506-229

Abstract

This paper deals with the existence of nontrivial solutions for a class of nonlinear elliptic equations driven by an anisotropic Laplacian operator. In particular, the existence of two nontrivial solutions is obtained, adapting a two critical point results to a suitable functional framework that involves the anisotropic Sobolev spaces.

Citation

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G. Bonanno. G. D'Aguì. A. Sciammetta. "Existence of two positive solutions for anisotropic nonlinear elliptic equations." Adv. Differential Equations 26 (5/6) 229 - 258, May/June 2021. https://doi.org/10.57262/ade026-0506-229

Information

Published: May/June 2021
First available in Project Euclid: 15 April 2021

Digital Object Identifier: 10.57262/ade026-0506-229

Subjects:
Primary: 35A15 , 35J66 , 35J70

Rights: Copyright © 2021 Khayyam Publishing, Inc.

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Vol.26 • No. 5/6 • May/June 2021
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