Variable order nonlocal Choquard problem with variable exponents
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Publication:4993747
DOI10.1080/17476933.2020.1751136zbMath1466.35153arXiv1907.02837OpenAlexW3018547850MaRDI QIDQ4993747
Publication date: 16 June 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02837
Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal problems at nearly critical growth
- The second eigenvalue of the fractional \(p\)-Laplacian
- Hitchhiker's guide to the fractional Sobolev spaces
- The fractional Cheeger problem
- A critical fractional equation with concave-convex power nonlinearities
- Multiplicity results for elliptic fractional equations with subcritical term
- Quasilinear parabolic problem with \(p(x)\)-Laplacian: existence, uniqueness of weak solutions and stabilization
- A guide to the Choquard equation
- Existence of positive ground-state solution for Choquard-type equations
- Lebesgue and Sobolev spaces with variable exponents
- On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
- Combined effects of concave and convex nonlinearities in some elliptic problems
- Multiplicity results for variable-order fractional Laplacian equations with variable growth
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- 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
- 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 Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent
- Generalized Choquard equations driven by nonhomogeneous operators
- Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
- Variational Methods for Nonlocal Fractional Problems
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- 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
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Recent progresses in the theory of nonlinear nonlocal problems
- On fractional Choquard equations
- Fractional p-eigenvalues
- Existence of groundstates for a class of nonlinear Choquard equations
- Positive solutions for nonlinear Choquard equation with singular nonlinearity
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)