Uniqueness theorems for variational problems by the method of transformation groups

DOI10.1007/b96984zbMath1246.35007OpenAlexW636555381MaRDI QIDQ1889977

Wolfgang Reichel

Publication date: 14 December 2004

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b96984

zbMATH Keywords

calculus of variationstransformation groupsuniqueness of critical points

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational methods involving nonlinear operators (47J30) Minimal surfaces and optimization (49Q05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Variational methods for second-order elliptic equations (35J20) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

Related Items (7)

Energy bounds for entire nodal solutions of autonomous superlinear equations ⋮ Paths to uniqueness of critical points and applications to partial differential equations ⋮ Conditional Lie Bäcklund symmetries of Hamilton-Jacobi equations ⋮ A generalized fractional Pohozaev identity and applications ⋮ Nonexistence results for a class of fractional elliptic boundary value problems ⋮ Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations ⋮ An invitation to modern group analysis of differential equations

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