Multiplicity results for elliptic problems with variable exponent and nonhomogeneous Neumann conditions

DOI10.1002/mma.3244zbMath1328.35037OpenAlexW2047749613MaRDI QIDQ3450326

Armin Hadjian, Shapour Heidarkhani, Ghasem Alizadeh Afrouzi

Publication date: 3 November 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3244

zbMATH Keywords

multiple solutionsNeumann problemvariable exponent Sobolev spaces\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35)

Related Items (5)

Infinitely many solutions for Neumann problems associated to non-homogeneous differential operators through Orlicz-Sobolev spaces ⋮ Multiple solutions of Neumann problems: an Orlicz-Sobolev space setting ⋮ Three solutions to mixed boundary value problem driven by p(z)‐Laplace operator ⋮ On variational inequalities with multivalued perturbing terms depending on gradients ⋮ Existence and multiplicity of weak solutions for a Neumann elliptic problem with \(\vec{p}(x)\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions
• Remarks on the existence of three solutions for the \(p(x)\)-Laplacian equations
• Three solutions to a perturbed nonlinear discrete Dirichlet problem
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• Infinitely many non-negative solutions for a Dirichlet problem involving \(p(x)\)-Laplacian
• Multiple solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• On stationary thermo-rheological viscous flows
• Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
• Existence of three solutions for a perturbed two-point boundary value problem
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• Electrorheological fluids: modeling and mathematical theory
• Multiplicity results for a perturbed elliptic Neumann problem
• A general variational principle and some of its applications
• Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
• Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
• Existence of three solutions for a Neumann problem involving thep(x)-Laplace operator
• Existence results of infinitely many solutions forp(x)-Laplacian elliptic Dirichlet problems
• Discontinuous elliptic problems involving the p(x)‐Laplacian
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On the structure of the critical set of non-differentiable functions with a weak compactness condition
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Multiple solutions for a perturbed mixed boundary value problem involving the one-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-Laplacian
• 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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