A Weak solutions for some variational nonlinear elliptic systems with multiple perturbations
Year: 2025
Type: article
Abstract: Through Young measure, we handle variational quasilinear elliptic systems in both the divergence and perturbed forms of type $-\text{div}\,\big(\sigma(x,Du-\Upsilon(u))+ \phi(u)\big)+ \alpha(x) \mid u\mid^{p-2}u=f$ in $\Omega$, $u=0$ on $\partial\Omega$. Galerkin's method is utilized to obtain weak solutions $u$ within the framework of Sobolev spaces $W^{1,p}_0(\Omega;\R^m)$.
Source: Proyecciones (Antofagasta)
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409469499
