On a new class of fractional partial differential equations II

• Published in: Advances in calculus of variations Vol. 11; no. 3; pp. 289 - 307
• Main Authors: Shieh, Tien-Tsan, Spector, Daniel E.
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 01.07.2018; Walter de Gruyter GmbH
• Subjects: 26A33; 35JXX; 35R11; 49J45; Calculus of variations; Dependence; Differential calculus; Dirichlet forms; Dirichlet problem; Euler-Lagrange equation; Fractional gradient; fractional Hardy inequality; fractional partial differential equations; Functionals; Interpolation; Mathematical analysis; Partial differential equations

In this paper we continue to advance the theory regarding the Riesz fractional gradient in the calculus of variations and fractional partial differential equations begun in an earlier work of the same name. In particular, we here establish an Hardy inequality, obtain further regularity results for s...