Negative energy solutions for a new fractional \(p(x)\)-Kirchhoff problem without the (AR) condition
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Publication:2025836
DOI10.1155/2021/8888078zbMath1464.35393OpenAlexW3137399718MaRDI QIDQ2025836
Guoju Ye, Tianqing An, Weichun Bu, Said Taarabti
Publication date: 17 May 2021
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/8888078
Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (3)
Nonlocal fractional \(p(\cdot)\)-Kirchhoff systems with variable-order: two and three solutions ⋮ Some results for a \(p(x)\)-Kirchhoff type variation-inequality problems in non-divergence form ⋮ Positive solution for a nonlocal problem with strong singular nonlinearity
Cites Work
- Unnamed Item
- Existence results for fractional \(p\)-Laplacian problems via Morse theory
- Nontrivial solutions of superlinear nonlocal problems
- Hitchhiker's guide to the fractional Sobolev spaces
- The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
- Lebesgue and Sobolev spaces with variable exponents
- Fractional derivatives in complex planes
- On a \(p\)-Kirchhoff equation via fountain theorem and dual fountain theorem
- Critical point theory and Hamiltonian systems
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Traces for fractional Sobolev spaces with variable exponents
- Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian
- The Nehari manifold for a fractional $p$-Kirchhoff system involving sign-changing weight function and concave-convex nonlinearities
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Superlinear Kirchhoff-type problems of the fractional \(p\)-Laplacian without the (AR) condition
- Existence of positive solutions for nonlocal problems with indefinite nonlinearity
- Existence of a mountain pass solution for a nonlocal fractional \((p, q)\)-Laplacian problem
- A sequence of radially symmetric weak solutions for some nonlocal elliptic problem in \(\mathbb{R}^N\)
- Singular solutions of a \(p\)-Laplace equation involving the gradient
- Existence and multiplicity results for a new \(p(x)\)-Kirchhoff problem
- Renormalized solutions for the fractional \(p(x)\)-Laplacian equation with \(L^1\) data
- Riemann zeta fractional derivative-functional equation and link with primes
- \(p(x)\)-Laplacian equations satisfying Cerami condition
- A fourth order singular elliptic problem involving \(p\)-biharmonic operator
- Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
- Commutators of fractional integral operators on Vanishing-Morrey spaces
- Fractional eigenvalues
- A critical Kirchhoff type problem involving a nonlocal operator
- On a fractional degenerate Kirchhoff-type problem
- Variational Methods for Nonlocal Fractional Problems
- Multiple solutions of a superlinearp-Laplacian equation without AR-condition
- 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
- On the Ambrosetti-Rabinowitz Superlinear Condition
- On an Elliptic Equation with Concave and Convex Nonlinearities
- A unique weak solution for a kind of coupled system of fractional Schrödinger equations
- On the weak solutions of an overdetermined system of nonlinear fractional partial integro-differential equations
- Partial Differential Equations with Variable Exponents
- An Extension Problem Related to the Fractional Laplacian
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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