Capacity solution and numerical approximation to a nonlinear coupled elliptic system in anisotropic Sobolev spaces

DOI10.11948/20210208MaRDI QIDQ6611261

Francisco Ortegón Gallego, Mohamed Rhoudaf, Hajar Talbi

Publication date: 26 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

weak solutionnonlinear elliptic equationanisotropic Sobolev spacesthermistor problemcapacity solutions

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Degenerate elliptic equations (35J70) Second-order elliptic systems (35J47)

Related Items (4)

On the existence of capacity solution for a perturbed thermistor problem in anisotropic Orlicz-Sobolev spaces ⋮ Increase of power leads to a bilateral solution to a strongly nonlinear elliptic coupled system ⋮ Existence of solutions to a strongly nonlinear elliptic coupled system of finite order ⋮ Existence of solutions to a strongly nonlinear parabolic-elliptic coupled system of infinite order

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