Nehari manifold for fractional p(.)-Laplacian system involving concave-convex nonlinearities

zbMath1448.35234arXiv2004.09451MaRDI QIDQ5126309

Reshmi Biswas, Sweta Tiwari

Publication date: 16 October 2020

Full work available at URL: https://arxiv.org/abs/2004.09451

zbMATH Keywords

boundary value problemsexistence of solutionselliptic systemNehari manifoldfractional Laplacian

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (6)

On \(p(z)\)-Laplacian system involving critical nonlinearities ⋮ Nehari manifold for singular fractionalp(x,.)-Laplacian problem ⋮ Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity ⋮ Solutions of the mean curvature equation with the Nehari manifold ⋮ Existence and multiplicity for fractional Dirichlet problem with γ(ξ)-Laplacian equation and Nehari manifold ⋮ Nehari manifold for weighted singular fractional \(p\)-Laplace equations

Cites Work

• Nonlocal problems at nearly critical growth
• The fractional Cheeger problem
• Multiplicity results for elliptic fractional equations with subcritical term
• Quasilinear parabolic problem with \(p(x)\)-Laplacian: existence, uniqueness of weak solutions and stabilization
• Multiplicity of solutions of some quasilinear equations in \({\mathbb R}^N\) with variable exponents and concave-convex nonlinearities
• Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions
• On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
• Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian
• Variational methods for non-local operators of elliptic type
• A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Variational Methods for Nonlocal Fractional Problems
• 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
• Recent progresses in the theory of nonlinear nonlocal problems
• Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian

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