Degenerate elliptic problem with singular gradient lower order term and variable exponents

Author:

Zouatini M. A., ,Mokhtari F.,Khelifi H., , ,

Abstract

In this paper, we prove the existence and regularity of weak solutions for a class of nonlinear elliptic equations with degenerate coercivity and singular lower-order terms with natural growth with respect to the gradient and Lm(⋅) (m(x)≥1) data. The functional setting involves Lebesgue–Sobolev spaces with variable exponents.

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Anisotropic degenerate elliptic problem with singular gradient lower order term;Bollettino dell'Unione Matematica Italiana;2023-10-21

2. Nonlinear degenerate p(x)-Laplacian equation with singular gradient and lower order term;Indian Journal of Pure and Applied Mathematics;2023-07-05

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