An existence theorem in the calculus of variations based on Sobolev's imbedding theorems

DOI10.1007/BF00266572zbMath0135.15701MaRDI QIDQ2520960

Erich Rothe

Publication date: 1966

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

variational calculus

Related Items (5)

Il problema di determinare tutte le soluzioni di un campo di orientori ⋮ Supportably and weakly convex functionals with applications to approximation theory and nonlinear programming ⋮ Existence theorems in multidimensional problems of optimization with distributed and boundary controls ⋮ Closure theorems without seminormality conditions ⋮ On the Lavrentiev phenomenon

Cites Work

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• On the monotonicity of the gradient of a convex function
• Gradient mappings and extrema in Banach spaces
• A note on the Banach spaces of Calkin and Morrey
• Nonlinear elliptic boundary value problems
• Variational methods for nonlinear elliptic eigenvalue problems
• On the differentiability of the solutions of linear elliptic differential equations
• Uniform convexity. III

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