Generalized solutions for singular double-phase elliptic equations under mixed boundary conditions
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Articles
Jian Liu
Shandong University of Finance and Economics
Zengqin Zhao
Qufu Normal University
Published 2024-12-01
https://doi.org/10.15388/namc.2024.29.37845
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Keywords

elliptic equations
double phase
Hardy potential
mixed boundary conditions

How to Cite

Liu, J. and Zhao, Z. (2024) “Generalized solutions for singular double-phase elliptic equations under mixed boundary conditions”, Nonlinear Analysis: Modelling and Control, 29(6), pp. 1051–1061. doi:10.15388/namc.2024.29.37845.

Abstract

In this article, we investigate at least one or two generalized solutions for double-phase singular elliptic equations with Hardy potential. We show the existence of at least one or two distinct generalized solutions under mixed boundary conditions via variational methods when the nonlinearity f satisfying suitable hypotheses.

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