Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term

DOI10.1007/S11425-013-4588-YzbMath1278.35109OpenAlexW2268669004MaRDI QIDQ365830

Peng Luo, Shuying Tian, Hua Chen

Publication date: 9 September 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4588-y

zbMATH Keywords

logarithmic Sobolev inequalityHardy's inequalityinfinitely degenerate elliptic equationssingular potential term

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (3)

Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators ⋮ Multiple solutions for a Schrödinger-Poisson-Slater equation with external Coulomb potential ⋮ Multiplicity and regularity of solutions for infinitely degenerate elliptic equations with a free perturbation

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