Existence and regularity of solutions for a class of fractional Laplacian problems

DOI10.1016/j.jde.2022.02.041zbMath1484.35394OpenAlexW4214541666MaRDI QIDQ2670022

Pengcheng Wu, Yu Ying Zhou, Yi Sheng Huang

Publication date: 10 March 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.02.041

zbMATH Keywords

Leray-Schauder fixed point theoremmodified Marcinkiewicz interpolation result

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Interpolation between normed linear spaces (46B70) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Related Items (3)

Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation ⋮ On BMO and Hardy regularity estimates for a class of non-local elliptic equations ⋮ Global endpoint regularity estimates for the fractional Dirichlet problem

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