On the best constant in fractional $p$-Poincar\'e inequalities on cylindrical domains

zbMath1524.35038arXiv2103.16845MaRDI QIDQ6364200

Firoj Sk, Kaushik Mohanta

Publication date: 31 March 2021

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Weak solutions to PDEs (35D30) Inequalities involving derivatives and differential and integral operators (26D10) Other generalizations (nonlinear potential theory, etc.) (31C45) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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