Necessary conditions for multiple integral problem in the calculus of variations
DOI10.1007/BF01457235zbMath0471.49021MaRDI QIDQ1157559
Publication date: 1982
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163665
Sobolev spaceexistence resultsgeneralized gradientsclosed convex subsetnecessary conditions for the multiple integral problemvariational elliptic inequalities
Variational inequalities (49J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Optimality conditions (49K99) Existence theories in calculus of variations and optimal control (49J99)
Cites Work
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- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Semi-linear second-order elliptic equations in \(L^1\)
- A Variational Method for Boundary Value Problems with Discontinuous Nonlinearities
- Lower Semicontinuity, Optimization and Regularizing Extensions of Integral Functionals
- Generalized Gradients and Applications
- On Lower Semicontinuity of Integral Functionals. I
- Multiple Integrals of Lipschitz Functions in the Calculus of Variations
- Discontinuous Semilinear Differential Equations and Multiple Valued Maps
- On some regular multiple integral problems in the calculus of variations
- Semicontinuity problems in the calculus of variations
- Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities
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