Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents
From MaRDI portal
Publication:5155311
DOI10.1080/00036811.2019.1688790zbMath1475.35403OpenAlexW2988099893MaRDI QIDQ5155311
Publication date: 6 October 2021
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2019.1688790
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Existence and multiplicity results forp(⋅)&q(⋅) fractional Choquard problems with variable order ⋮ Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents ⋮ On fractional discrete \(p\)-Laplacian equations via Clark's theorem ⋮ On critical variable-order Kirchhoff type problems with variable singular exponent ⋮ Existence and multiplicity of solutions for critical nonlocal equations with variable exponents ⋮ Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems ⋮ Multiplicity results for variable-order nonlinear fractional magnetic Schrödinger equation with variable growth ⋮ Existence of solutions for a singular double phase Kirchhoff type problems involving the fractional \(q(x, .)\)-Laplacian Operator ⋮ A class of variable-order fractional \(p(\cdot)\)-Kirchhoff-type systems ⋮ Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth ⋮ Existence and uniqueness of weak solutions to variable-order fractional Laplacian equations with variable exponents ⋮ Monotone systems involving variable-order nonlocal operators ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents
Cites Work
- Unnamed Item
- Unnamed Item
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- Multiple solutions for \(p\)-Kirchhoff equations in \(\mathbb R^N\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Lebesgue and Sobolev spaces with variable exponents
- Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
- Mountain pass solutions for non-local elliptic operators
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- On Clark's theorem and its applications to partially sublinear problems
- On a \(p\)-Kirchhoff equation via fountain theorem and dual fountain theorem
- On Markov process generated by pseudodifferential operator of variable order
- Multiplicity results for variable-order fractional Laplacian equations with variable growth
- 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
- Variable order and distributed order fractional operators
- Fractional integration and differentiation of variable order
- Minimax theorems
- Higher nonlocal problems with bounded potential
- Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Fractional Generalized Random Fields of Variable Order
- On an elliptic equation of p-Kirchhoff type via variational methods
- 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
- Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration
- Integration and differentiation to a variable fractional order
- On an Elliptic Equation with Concave and Convex Nonlinearities
- Infinitely many solutions of a symmetric Dirichlet problem
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)