Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 148
Regularity results for degenerate problem with singular gradient, lower order term and variable exponents
Mohamed Amine Zouatini, Fares Mokhtari, Hichem Khelifi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 20, 2022
March 03, 2135
April 15, 2135

Abstract: In this communication, 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 L^{m(.)} data. The functional setting involves Lebesgue-Sobolev spaces with variable exponents. The corresponding results in the case p(x)=2 are developed in [1]. We approximate the problem by a sequence of non-degenerate and non-singular nonlinear elliptic problems. Then, we prove both a priori estimates and convergence results on the sequence of ...