Multiplicity results for a nonlocal fractional problem
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Publication:2167369
DOI10.1007/s40314-022-01931-1OpenAlexW4284991742MaRDI QIDQ2167369
Publication date: 25 August 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-01931-1
mountain pass theoremcritical point theorynonlocal problem.)\)-Laplacianfractional \(s(xfractional Sobolev space with variable exponents
Boundary value problems for nonlinear higher-order PDEs (35G30) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Higher-order elliptic systems (35J48)
Cites Work
- A critical point theorem via the Ekeland variational principle
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiplicity results for perturbed fourth-order Kirchhoff type elliptic problems
- Lebesgue and Sobolev spaces with variable exponents
- On the spectrum of a fourth order elliptic equation with variable exponent
- Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
- Strong comparison principle for the fractional \(p\)-Laplacian and applications to starshaped rings
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Traces for fractional Sobolev spaces with variable exponents
- On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition
- Multiplicity of solutions for a class of fourth-order elliptic equations of \(p(x)\)-Kirchhoff type
- Multiple solutions for a binonlocal fractional \(p(x,\cdot)\)-Kirchhoff type problem
- Existence results for fractional \(p(x, . )\)-Laplacian problem via the Nehari manifold approach
- Dual variational methods in critical point theory and applications
- On a nonlocal fractional \(p\)(., .)-Laplacian problem with competing nonlinearities
- Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
- Non-local Diffusions, Drifts and Games
- 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
- A Sub-supersolutions Method for a Class of Weighted (p(.), q(.))-Laplacian Systems
- Partial Differential Equations with Variable Exponents
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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