Harnack inequality for the nonlocal equations with general growth (Q6052816)

scientific article; zbMATH DE number 7741858

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English	Harnack inequality for the nonlocal equations with general growth	scientific article; zbMATH DE number 7741858

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instance of

scholarly article

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title

Harnack inequality for the nonlocal equations with general growth (English)

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Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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publication date

25 September 2023

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full work available at URL

https://arxiv.org/abs/2201.09495

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zbMATH Keywords

expansion of positivity

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fractional Orlicz-Sobolev space

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general growth

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Harnack inequality

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nonlocal equations

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MaRDI profile type

MaRDI publication profile

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cites work

Higher Sobolev regularity for the fractional $p$-Laplace equation in the superquadratic case

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Continuity of solutions to a nonlinear fractional diffusion equation

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The second eigenvalue of the fractional $p$-Laplacian

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Local continuity and Harnack's inequality for double-phase parabolic equations

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Local Hölder continuity for fractional nonlocal equations with general growth

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Hölder regularity for weak solutions to nonlocal double phase problems

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Regularity theory for parabolic nonlinear integral operators

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Regularity for nonlocal problems with non-standard growth

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A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems

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Hölder regularity for nonlocal double phase equations

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Nonlocal Harnack inequalities

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Local behavior of fractional $p$-minimizers

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Everywhere regularity of functionals with $\varphi $-growth

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Local boundedness and Hölder continuity for the parabolic fractional $p$-Laplace equations

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On Weak and Viscosity Solutions of Nonlocal Double Phase Equations

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Local Regularity for Parabolic Nonlocal Operators

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Interior and up to the boundary regularity for the fractional $g$-Laplacian: The convex case

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Global Hölder regularity for eigenfunctions of the fractional $g$-Laplacian

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Fractional p-eigenvalues

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Interior and boundary regularity results for strongly nonhomogeneous $(p, q)$-fractional problems

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Global regularity results for non-homogeneous growth fractional problems

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On the regularity of the minima of variational integrals

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Q3151387

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

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Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth

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Global Hölder regularity for the fractional $p$-Laplacian

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A new formulation of Harnack's inequality for nonlocal operators

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Regularity of quasi-minimizers on metric spaces

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Equivalence of solutions to fractional $p$-Laplace type equations

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The obstacle problem for nonlinear integro-differential operators

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Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations

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Nonlocal self-improving properties

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Nonlocal equations with measure data

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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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Fractional $p$-Laplacian evolution equations

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Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces

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Local Hölder regularity for nonlocal equations with variable powers

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The Dirichlet problem for the $p$-fractional Laplace equation

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Lower bounds for Orlicz eigenvalues

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Eigenvalues and minimizers for a non-standard growth non-local operator

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Fractional eigenvalues in Orlicz spaces with no $\Delta_2$ condition

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On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions

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Local boundedness of solutions to non-local parabolic equations modeled on the fractional $p$-Laplacian

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The Dirichlet problem for the fractional $p$-Laplacian evolution equation

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The fractional $p$-Laplacian evolution equation in $\mathbb{R}^N$ in the sublinear case

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Identifiers

zbMATH Open document ID

1523.35281

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arXiv ID

2201.09495

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6052816