Non-existence of positive solutions of some elliptic equations in positive-type domains

DOI10.1016/J.AML.2006.07.008zbMath1134.35044OpenAlexW2025817775MaRDI QIDQ879003

Tianqing An

Publication date: 4 May 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.07.008

zbMATH Keywords

positive solutionnon-existencestar-shaped domainPokhozhaev-type identitypositive-type domain

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (4)

The Pohozaev-type inequalities and their applications for a kind of elliptic equation (system) ⋮ Positive solutions of nonhomogeneous fractional Laplacian problem with critical exponent ⋮ Pohozaev-type inequality and non-existence of solutions for a kind of elliptic systems ⋮ Non-existence of positive solutions for a class of fourth order elliptic systems in positive-type domains

Cites Work

• Unnamed Item
• Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains
• Pohozaev's identity from a variational viewpoint
• Existence of multiple periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \({\mathbb{R}}^{2n}\)
• Periodic orbits of Hamiltonian systems on symmetric positive-type hypersurfaces
• On the number of periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \(\mathbb{R}^{2n}\)

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