Existence and regularity of solutions for a singular anisotropic ( p , q ) -Laplacian with variable exponent

• Published in: Electronic journal of qualitative theory of differential equations Vol. 2025; no. 13; pp. 1 - 28
• Main Authors: Hamidi, Abdellah, El Amrouss, Abdelrachid, Kissi, Fouad
• Format: Journal Article
• Language: English
• Published: University of Szeged 01.01.2025
• Subjects: anisotropic singular $(p; approximation; existence and regularity results; q)$-equations; variational methods

In this paper, we investigate the existence and regularity of positive solutions for certain singular problems that involve an anisotropic ( p , q ) -Laplacian-type operator and a singular term with a variable exponent, under zero Dirichlet boundary conditions on ∂ Ω . The main equation we analyze i...