Existence of solutions to a strongly nonlinear elliptic coupled system of finite order

DOI10.1007/S43036-024-00350-9MaRDI QIDQ6646578

Hajar Talbi, Manar Lahrache, Mohamed Rhoudaf

Publication date: 2 December 2024

Published in: Advances in Operator Theory (Search for Journal in Brave)

zbMATH Keywords

weak solutionnonlinear elliptic equationcoupled systemdegenerate problemthermistor problemcapacity solutionSobolev spaces of finite order

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Degenerate elliptic equations (35J70)

Cites Work

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• A generalization of a theorem of H.Brezis \& F.E.Browder and applications to some unilateral problems
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• A strongly degenerate system involving an equation of parabolic type and an equation of elliptic type
• 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
• Capacity solution and numerical approximation to a nonlinear coupled elliptic system in anisotropic Sobolev spaces

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Existence of solutions to a strongly nonlinear parabolic-elliptic coupled system of infinite order

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