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

DOI10.1515/acv-2021-0040OpenAlexW3202712920MaRDI QIDQ2691833

Deepak Kumar, Jacques Giacomoni, Konijeti Sreenadh

Publication date: 30 March 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.06080

zbMATH Keywords

maximum principlestrong comparison principlesingular nonlinearityfractional \((p, q)\)-Laplacianlocal and boundary Hölder continuitynonhomogeneous nonlocal operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

Harnack inequality for nonlocal problems with non-standard growth ⋮ Local Hölder continuity for fractional nonlocal equations with general growth ⋮ Harnack inequality for the nonlocal equations with general growth ⋮ Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities ⋮ Fractional double phase Robin problem involving variable‐order exponents and logarithm‐type nonlinearity ⋮ Nonlinear fractional and singular systems: Nonexistence, existence, uniqueness, and Hölder regularity ⋮ Some existence and uniqueness results for logistic Choquard equations ⋮ Hölder regularity for weak solutions to nonlocal double phase problems

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