Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents

DOI10.1007/s10455-010-9226-0zbMath1207.35132OpenAlexW1979982927MaRDI QIDQ620453

Yawei Wei, Hua Chen, Xiaochun Liu

Publication date: 19 January 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-010-9226-0

zbMATH Keywords

conical singularitycone Sobolev inequalitycritical cone Sobolev exponentstotally characteristic elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• Realizations of differential operators on conic manifolds with boundary
• Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential
• Dual variational methods in critical point theory and applications
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces

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