Year: 2026
Type: article
Abstract: In this paper we prove existence and regularity of weak solutions for the following system $$\begin{aligned} {\left\{ \begin{array}{ll} & -\text{ div }\Bigg (\bigg (\Vert \nabla u\Vert ^{p}_{L^{p}}+\Vert \nabla v\Vert ^{p}_{L^{p}}\bigg )|\nabla u|^{p-2}\nabla u\Bigg ) + g(x,u,v)=f \ \ \ \text{ in } \ \Omega ; \\ & -\text{ div }\Bigg (\bigg (\Vert \nabla u\Vert ^{p}_{L^{p}}+\Vert \nabla v\Vert ^{p}_{L^{p}}\bigg )|\nabla v|^{p-2}\nabla v\Bigg ) = h(x,u,v) \ \ \ \ \text{ in } \ \Omega ; \\ & u=v=0 \ \text{ on } \ \partial \Omega . \end{array}\right. } \end{aligned}$$ - div ( ( ‖ ∇ u ‖ L p p + ‖ ∇ v ‖ L p p ) | ∇ u | p - 2 ∇ u ) + g ( x , u , v ) = f in Ω ; - div ( ( ‖ ∇ u ‖ L p p + ‖ ∇ v ‖ L p p ) | ∇ v |
Authors: A. P. de Castro Santana, L. H. de Miranda
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7138235066