Pohozaev's identity from a variational viewpoint

DOI10.1006/jmaa.2001.7719zbMath1257.35082OpenAlexW2043019026MaRDI QIDQ1604461

Alfred Wagner

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7719

zbMATH Keywords

Pokhozhaev identity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence theories for free problems in two or more independent variables (49J10) Variational methods for second-order elliptic equations (35J20) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (10)

POHOŽAEV IDENTITIES FROM DOMAIN DEFORMATION ⋮ Overdetermined problems for p-Laplace and generalized Monge–Ampére equations ⋮ Pohozaev-type inequalities and their applications for elliptic equations ⋮ Non-existence of positive solutions of some elliptic equations in positive-type domains ⋮ Uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains. I. ⋮ Boundary Vortex Formation in Polarization-Modulated Orthogonal Smectic Liquid Crystals ⋮ Pohozaev-type identities for differential operators driven by homogeneous vector fields ⋮ A fractional Hadamard formula and applications ⋮ UNIVERSAL PRINCIPLES FOR KAZDAN–WARNER AND POHOZAEV–SCHOEN TYPE IDENTITIES ⋮ An invitation to modern group analysis of differential equations

Cites Work

• Change of variables for absolutely continuous functions
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• Variation of domain functionals
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