Existence and Multiplicity of Weak Solutions for a Class of Variable Exponent Elliptic Equations

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Abstract

In this paper we will study the existence of one, two and three weak solutions for a class of variable exponent elliptic equations under appropriate growth conditions on the nonlinearity. Our technical approach is based on the existence theorems obtained by G. Bonanno.

Keywords:

Weak solutions $p(x)$-Laplacian weighted variable exponent Sobolev spaces.
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DOI

10.4208/jpde.v38.n2.1

How to Cite

Existence and Multiplicity of Weak Solutions for a Class of Variable Exponent Elliptic Equations. (2025). Journal of Partial Differential Equations, 38(2), 125-141. https://doi.org/10.4208/jpde.v38.n2.1
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