Weak solution to p(x)-Kirchoff type problems under no-flux boundary condition by topological degree

DOI10.5269/bspm.63341MaRDI QIDQ6154723

Khalid Hilal, Soukaina Yacini, Chakir Allalou

Publication date: 16 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaces with variable exponentSobolev space with variable exponentsBerkovits topological degreegeneralized \(p(x)\)-Kirchhoff-type problems

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Higher-order elliptic equations (35J30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Extension of the Leray-Schauder degree for abstract Hammerstein type mappings
• Singular solutions of the \(p\)-Laplace equation
• On a critical Kirchhoff-type problem
• Existence and uniqueness results for a class of \(p(x)\)-Kirchhoff-type problems with convection term and Neumann boundary data
• Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents
• Existence and multiplicity results for elliptic problems with \(p(\cdot)\)-growth conditions
• Fixed point theory and nonlinear problems
• On a class of nonlinear problems involving a p(x)-Laplace type operator
• On a class of nonlocal nonlinear elliptic problems
• Variational approaches to p-Laplacian discrete problems of Kirchhoff-type
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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