On a class of Kirchhoff-Choquard equations involving variable-order fractional \(p(\cdot)\)-Laplacian and without Ambrosetti-Rabinowitz type condition

DOI10.12775/TMNA.2020.072zbMath1484.35194arXiv2005.09221OpenAlexW3027131045MaRDI QIDQ2075739

Reshmi Biswas, Sweta Tiwari

Publication date: 15 February 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09221

zbMATH Keywords

existence, variational methodsKirchhoff-Choquard equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition ⋮ Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity ⋮ Existence of ground state solutions for a Choquard double phase problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition
• Hitchhiker's guide to the fractional Sobolev spaces
• Quasilinear parabolic problem with \(p(x)\)-Laplacian: existence, uniqueness of weak solutions and stabilization
• Lebesgue and Sobolev spaces with variable exponents
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
• On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• On ground states of superlinear \(p\)-Laplacian equations in R\(^N\)
• On Markov process generated by pseudodifferential operator of variable order
• Multiplicity results for variable-order fractional Laplacian equations with variable growth
• Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition
• 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
• Fractional Choquard equation with critical nonlinearities
• Variable order and distributed order fractional operators
• Regularity results for stationary electro-rheological fluids
• Minimax theorems
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
• Ground state solutions of fractional Choquard equations with general potentials and nonlinearities
• Ground states of nonlinear fractional Choquard equations with Hardy-Littlewood-Sobolev critical growth
• A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian
• Nonlinear elliptic equations with variable exponent: old and new
• A note on Kirchhoff-type equations with Hartree-type nonlinearities
• A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• A critical Kirchhoff type problem involving a nonlocal operator
• Banach space theory. The basis for linear and nonlinear analysis
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Fractional Generalized Random Fields of Variable Order
• Variational Methods for Nonlocal Fractional Problems
• Quantum computation, entanglement and state reduction
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Convolution and potential type operators inL^p(x)(Rⁿ)
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• 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
• Variable order nonlocal Choquard problem with variable exponents
• Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian
• Partial Differential Equations with Variable Exponents
• Existence of groundstates for a class of nonlinear Choquard equations
• Infinitely many solutions of a symmetric Dirichlet problem
• Functional Analysis
• An Extension Problem Related to the Fractional Laplacian
• 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: On a class of Kirchhoff-Choquard equations involving variable-order fractional \(p(\cdot)\)-Laplacian and without Ambrosetti-Rabinowitz type condition