Ni-Serrin type equations arising from capillarity phenomena with non-standard growth

DOI10.1186/1687-2770-2013-55zbMath1291.35102OpenAlexW2140373127WikidataQ59293416 ScholiaQ59293416MaRDI QIDQ2444609

Mustafa Avci

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-55

zbMATH Keywords

mountain pass theoremvariational methodgenus theory\(p(x)\)-Laplacianvariable exponent Sobolev spacecapillarity phenomena

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

Variational approaches to \(P(X)\)-Laplacian-like problems with Neumann condition originated from a capillary phenomena ⋮ The existence and multiplicity of solutions for \(p(x)\)-Laplacian-like Neumann problems ⋮ Multiple solutions for two general classes of anisotropic systems with variable exponents ⋮ Multiple positive solutions for nonlinear eigenvalue problems involving \(p(x)\)-Laplacian-like operators ⋮ Existence result for Neumann problems with \(p(x)\)-Laplacian-like operators in generalized Sobolev spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Applied higher-order elliptic problems with nonstandard growth structure ⋮ Unnamed Item ⋮ Anisotropic nonlocal problem with discontinuous nonlinearities ⋮ Unnamed Item

Cites Work

• Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
• On stationary thermo-rheological viscous flows
• On the behavior of a capillary surface at a singular point
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• On nonlocal \(p(x)\)-Laplacian Dirichlet problems
• Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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