2024 A class of double phase problem without Ambrosetti-Rabinowitz-type growth condition: infinitely many solutions
Bin Ge, Yuhang Han, Qinghai Cao, Haixin Ren
Topol. Methods Nonlinear Anal. 63(2): 733-748 (2024). DOI: 10.12775/TMNA.2023.040

Abstract

This paper concerns with a class of double phase problem without Ambrosetti-Rabinowitz-type growth condition. Under reasonable hypotheses, we establish the existence of infinitely many solutions by using the variant fountain theorems due to Zou [41].

Citation

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Bin Ge. Yuhang Han. Qinghai Cao. Haixin Ren. "A class of double phase problem without Ambrosetti-Rabinowitz-type growth condition: infinitely many solutions." Topol. Methods Nonlinear Anal. 63 (2) 733 - 748, 2024. https://doi.org/10.12775/TMNA.2023.040

Information

Published: 2024
First available in Project Euclid: 17 July 2024

Digital Object Identifier: 10.12775/TMNA.2023.040

Keywords: concave and convex nonlinearities , Double phase problem , Fountain Theorem , variational method

Rights: Copyright © 2024 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.63 • No. 2 • 2024
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