Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach
DOI10.1007/s00245-020-09686-zzbMath1475.35384OpenAlexW3024382180MaRDI QIDQ2232765
Mohammed Shimi, Elhoussine Azroul, Athmane Boumazourh, Abdelmoujib Benkirane
Publication date: 8 October 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-020-09686-z
Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for PDEs with pseudodifferential operators (35S15) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (2)
Cites Work
- Unnamed Item
- Nonlocal diffusion and applications
- Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
- On a PDE involving the variable exponent operator with nonlinear boundary conditions
- The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
- Ten equivalent definitions of the fractional Laplace operator
- Weighted variable Sobolev spaces and capacity
- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- Mountain pass solutions for non-local elliptic operators
- The Nehari manifold for a fractional \(p\)-Laplacian system involving concave-convex nonlinearities
- Multiplicity theorems for a class of Dirichlet quasilinear elliptic systems involving the \((p_1,\dots,p_n)\)-Laplacian
- Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Fractional quantum mechanics and Lévy path integrals
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Eigenvalue problems involving the fractional \(p(x)\)-Laplacian operator
- Variational methods for non-local operators of elliptic type
- On a class of fractional Laplacian problems with variable exponents and indefinite weights
- On a class of fractional systems with nonstandard growth conditions
- Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
- Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Nonlocal eigenvalue type problem
- On a nonlocal fractional \(p\)(., .)-Laplacian problem with competing nonlinearities
- Local density of solutions to fractional equations
- The fibering map approach to a quasilinear degenerate \(p(x)\)-Laplacian equation
- Weak and viscosity solutions of the fractional Laplace equation
- Non-local Diffusions, Drifts and Games
- On a Class of Nonlinear Second-Order Differential Equations
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Vector continued fractions using a generalized inverse
- Sobolev embeddings with variable exponent
- Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians
- Ekeland’s Variational Principle for the Fractional p(x)-Laplacian Operator
- On a class of fractional p(x) -Kirchhoff type problems
- Three solutions for a Kirchhoff-type problem involving nonlocal fractional $p$-Laplacian
- Variable exponent trace spaces
- Variable Exponent, Linear Growth Functionals in Image Restoration
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach
