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A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent - MaRDI portal

A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent (Q2632563)

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English	A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent	scientific article

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scholarly article

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A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent (English)

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Leandro S. Tavares

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Claudianor Oliveira Alves

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Mediterranean Journal of Mathematics

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publication date

14 May 2019

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full work available at URL

https://arxiv.org/abs/1609.09558

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zbMATH Keywords

\(p(x)\)-Laplacian operator

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MaRDI profile type

MaRDI publication profile

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Regularity results for stationary electro-rheological fluids

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Regularity results for electrorheological fluids: The stationary case

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On a periodic Schrödinger equation with nonlocal superlinear part

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Characterization of Riesz and Bessel potentials on variable Lebesgue spaces

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Existence of solution for a degenerate \(p(x)\)-Laplacian equation in \(\mathbb R^N\)

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Existence of radial solutions for a class of \(p(x)\)-Laplacian equations with critical growth.

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Existence and multiplicity of solutions for a \(p(x)\)-Laplacian equation with critical growth

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Nonlinear perturbations of a ‐Laplacian equation with critical growth in

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Existence of solutions for a class of \(p(x)\)-Laplacian equations involving a concave-convex nonlinearity with critical growth in \({\mathbb R}^N\)

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Existence of solutions for a class of singular elliptic systems with convection term

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Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian

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On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)

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Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method

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Existence of semiclassical ground state solutions for a generalized Choquard equation

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On stationary thermo-rheological viscous flows

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Variational methods for potential operator equations: with applications to nonlinear elliptic equations

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Image recovery via total variation minimization and related problems

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities

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Lebesgue and Sobolev spaces with variable exponents

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Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form

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On the sub-supersolution method for \(p(x)\)-Laplacian equations

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\(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations

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A class of De Giorgi type and Hölder continuity

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On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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Nodal solutions of \(p(x)\)-Laplacian equations

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Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem

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Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)

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On the Sobolev embedding theorem for variable exponent spaces in the critical range

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On the Sobolev trace theorem for variable exponent spaces in the critical range

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Multiple solutions for a class of <i>p</i> ( <i>x</i> )-Laplacian equations in involving the critical exponent

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Generalized potentials in variable exponent Lebesgue spaces on homogeneous spaces

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The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation

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On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent

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Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

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The Choquard equation and related questions

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Classification of positive solitary solutions of the nonlinear Choquard equation

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Orlicz spaces and modular spaces

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On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent

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Spherically-symmetric solutions of the Schrödinger-Newton equations

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Existence of groundstates for a class of nonlinear Choquard equations

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Semi-classical states for the Choquard equation

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Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent

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Nonlinear elliptic equations with variable exponent: old and new

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Partial Differential Equations with Variable Exponents

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Electrorheological fluids: modeling and mathematical theory

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Convolution type operators in<i>l<sup>p</sup></i>(<i>x</i>)

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Convolution and potential type operators in<i>L<sup>p(x)</sup></i>(<i>R<sup>n</sup></i>)

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On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators

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Identifiers

zbMATH Open document ID

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10.1007/s00009-019-1316-z

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2632563

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