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Regularity for nonlocal problems with non-standard growth - MaRDI portal

Regularity for nonlocal problems with non-standard growth (Q2094297)

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Language	Label	Description	Also known as
English	Regularity for nonlocal problems with non-standard growth	scientific article

Statements

scholarly article

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Regularity for nonlocal problems with non-standard growth (English)

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Calculus of Variations and Partial Differential Equations

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publication date

28 October 2022

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full work available at URL

https://arxiv.org/abs/2111.09182

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zbMATH Keywords

functionals with non-standard growth of \((p,q)\)-type

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local boundedness

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Hölder continuity

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MaRDI profile type

MaRDI publication profile

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Fractional Orlicz-Sobolev embeddings

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On fractional Orlicz-Sobolev spaces

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Regularity results for a class of functionals with non-standard growth

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Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications

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A new poincaré inequality and its application to the regularity of minimizers of integral functionals with nonstandard growth

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Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case

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Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case

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Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems

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Basic results of fractional Orlicz-Sobolev space and applications to non-local problems

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A general regularity theorem for functionals with \(\varphi \)-growth

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Boundedness of solutions to variational problems under general growth conditions

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Harnack inequality for nonlocal problems with non-standard growth

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Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes

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Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

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Nonlocal Harnack inequalities

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Local behavior of fractional \(p\)-minimizers

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Hölder regularity for nonlocal double phase equations

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A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces

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Hitchhiker's guide to the fractional Sobolev spaces

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Everywhere regularity of functionals with \(\varphi \)-growth

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A note on generalized inverses

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Sharp regularity for functionals with (\(p\),\(q\)) growth

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Fractional order Orlicz-Sobolev spaces

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An inequality for Jensen means

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A note on the Hölder continuity of solutions of variational problems

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On the regularity of the minima of variational integrals

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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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Regularity and multiplicity results for fractional (p,q)-Laplacian equations

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Regularity results for a new class of functionals with non-standard growth conditions

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The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations

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Linear and quasilinear elliptic equations

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Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions

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Regularity and existence of solutions of elliptic equations with p,q- growth conditions

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Regularity for elliptic equations with general growth conditions

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Regularity of minima: an invitation to the dark side of the calculus of variations.

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Gradient potential estimates

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Hölder continuity of minimizers of functionals with non standard growth conditions

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Local boundedness of minimizers of integrals of the calculus of variations

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Nonlinear elliptic systems with general growth

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Recent developments in problems with nonstandard growth and nonuniform ellipticity

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On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces

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Maximum principles, Liouville theorem and symmetry results for the fractional \(g\)-Laplacian

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\( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations

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Regularity of \(\omega \)-minimizers for a class of functionals with non-standard growth

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Regularity for double phase problems under additional integrability assumptions

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Self-improving inequalities for bounded weak solutions to nonlocal double phase equations

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Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00526-022-02364-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:2094297

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