Existence of solutions for nonlocal elliptic systems involving \(p(x)\)-Laplace operator
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Publication:2077904
DOI10.1007/s10998-021-00396-9zbMath1499.35170OpenAlexW3177579890MaRDI QIDQ2077904
S. Firouzi, Ghasem Alizadeh Afrouzi
Publication date: 22 February 2022
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10998-021-00396-9
variational methodsnonlocal conditionnonlinear elliptic systemsvariable exponent Sobolev spaces\(p(x)\)-Laplace operator
Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)
Cites Work
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- Critical points approaches to elliptic problems driven by a \(p(x)\)-Laplacian
- Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions
- 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
- On a PDE involving the \(\mathcal A_{p(\cdot )}\)-Laplace operator
- 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
- Infinitely many positive solutions for a \(p(x)\)-Kirchhoff-type equation
- Multiple solutions for a Neumann problem involving the \(p(x)\)-Laplacian
- On stationary thermo-rheological viscous flows
- On the sub-supersolution method for \(p(x)\)-Laplacian equations
- On some variational problems
- Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
- Positive solutions for a nonlinear nonlocal elliptic transmission problem
- On a three critical points theorem
- Electrorheological fluids: modeling and mathematical theory
- Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness
- On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
- Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
- Existence results to elliptic systems with nonstandard growth conditions
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
- Minimax theorems
- Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
- Existence and multiplicity results for a new \(p(x)\)-Kirchhoff problem
- Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity
- Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
- On a nonlocal elliptic system of \(p\)-Kirchhoff-type under Neumann boundary condition
- Eigenvalues of the \(p(x)\)-Laplacian Steklov problem
- Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- Multiplicity results forp(x)-biharmonic equations with Navier boundary conditions
- Stationary waves of Schrödinger-type equations with variable exponent
- 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
- Multiple solutions for Kirchhoff‐type problems with variable exponent and nonhomogeneous Neumann conditions
- Nonlinear Analysis - Theory and Methods
- On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
- On the Well-Posedness of the Kirchhoff String
- Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities
- Partial Differential Equations with Variable Exponents
- Gradient estimates for thep(x)-Laplacean system
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
