Liouville theorem for elliptic equations with mixed boundary value conditions and finite Morse indices

DOI10.1186/s13660-015-0867-1zbMath1336.35155OpenAlexW2152903196WikidataQ59436401 ScholiaQ59436401MaRDI QIDQ264338

Xueqiao Wang, Xiongjun Zheng

Publication date: 31 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0867-1

zbMATH Keywords

Liouville type theoremminimizermixed boundary value problemsSobolev-Hardy inequalityradial symmetrydecaying lawfinite Morse index

Mathematics Subject Classification ID

Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

Stable solutions of \(-\Delta u+\lambda u=|u|^{p-1}u\) in strips ⋮ Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions ⋮ Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index ⋮ Liouville results for \(m\)-Laplace equations in half-space and strips with mixed boundary value conditions and finite Morse index

Cites Work

• Liouville theorem for elliptic equations with nonlinear boundary value conditions and finite Morse indices
• A priori estimates for superlinear and subcritical elliptic equations: The Neumann boundary condition case
• Solutions of fractional Laplacian equations and their Morse indices
• Superlinear indefinite elliptic problems and Pohozyaev type identities
• Liouville type theorems for two mixed boundary value problems with general nonlinearities
• Solutions of superlinear elliptic equations and their Morse indices. I, II
• Solutions of the mixed boundary problem and their Morse indices
• A priori bounds for positive solutions of nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Solutions of superlinear elliptic equations and their morse indices

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