Nonlinear Elliptic Boundary Value Problems by Topological Degree

DOI10.1007/978-3-030-26149-8_1zbMath1440.35074OpenAlexW2971064577MaRDI QIDQ5112057

Mustapha Ait Hammou, Elhoussine Azroul

Publication date: 28 May 2020

Published in: Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-26149-8_1

zbMATH Keywords

Dirichlet problemexistence of solutionsnonlinear operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (1)

Existence of weak solutions for a $p(x)$-Laplacian equation via topological degree

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Weighted variable Sobolev spaces and capacity
• Extension of the Leray-Schauder degree for abstract Hammerstein type mappings
• Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\).
• Electrorheological fluids: modeling and mathematical theory
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Nonlinear Problems with p(·)-Growth Conditions and Applications to Antiplane Contact Models
• On the topological degree for mappings of monotone type
• Mathematical modeling of electrorheological materials
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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