Regularity for nonlocal problems with non-standard growth
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Publication:2094297
DOI10.1007/s00526-022-02364-8zbMath1501.35106arXiv2111.09182OpenAlexW3213594935WikidataQ115385810 ScholiaQ115385810MaRDI QIDQ2094297
Jamil Chaker, Marvin Weidner, Minhyun Kim
Publication date: 28 October 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.09182
Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Integro-differential operators (47G20)
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Local Hölder continuity for fractional nonlocal equations with general growth, Harnack inequality for the nonlocal equations with general growth, Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth, Hölder regularity for fractional \(p\)-Laplace equations, Local boundedness of variational solutions to nonlocal double phase parabolic equations, Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities, Gradient regularity in mixed local and nonlocal problems, The Dirichlet problem for Lévy-stable operators with \(L^2\)-data, Unnamed Item
Cites Work
- Unnamed Item
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- Local behavior of fractional \(p\)-minimizers
- Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
- Nonlocal Harnack inequalities
- Hitchhiker's guide to the fractional Sobolev spaces
- Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes
- Regularity of \(\omega \)-minimizers for a class of functionals with non-standard growth
- A general regularity theorem for functionals with \(\varphi \)-growth
- Gradient potential estimates
- Regularity for elliptic equations with general growth conditions
- Nonlinear elliptic systems with general growth
- Everywhere regularity of functionals with \(\varphi \)-growth
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On the regularity of the minima of variational integrals
- Hölder continuity of minimizers of functionals with non standard growth conditions
- A note on the Hölder continuity of solutions of variational problems
- Local boundedness of minimizers of integrals of the calculus of variations
- Hölder regularity for nonlocal double phase equations
- Higher Hölder regularity for the fractional \(p\)-Laplacian in the superquadratic case
- Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Regularity results for a new class of functionals with non-standard growth conditions
- Maximum principles, Liouville theorem and symmetry results for the fractional \(g\)-Laplacian
- On fractional Orlicz-Sobolev spaces
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Self-improving inequalities for bounded weak solutions to nonlocal double phase equations
- Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
- Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems
- \( H^{s, p}\) regularity theory for a class of nonlocal elliptic equations
- Regularity for double phase problems under additional integrability assumptions
- A note on generalized inverses
- Fractional order Orlicz-Sobolev spaces
- Linear and quasilinear elliptic equations
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Fractional Orlicz-Sobolev embeddings
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- An inequality for Jensen means
- A new poincaré inequality and its application to the regularity of minimizers of integral functionals with nonstandard growth
- Boundedness of solutions to variational problems under general growth conditions
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- Regularity and multiplicity results for fractional (p,q)-Laplacian equations
- Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions
- A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces
- Regularity results for a class of functionals with non-standard growth
- Harnack inequality for nonlocal problems with non-standard growth
