Concepedia
Applied Mathematics & Optimization · 2013 · 48 citations · 18 references
Open access
Natural SciencesMathematicsOptimizationBoundary ConditionsOperator TheoryOptimization TheorySpectral TheoryVariational FormulationVariational InequalitiesConvex Variational ProblemsExistence Of MinimizersFunctional MinimizationNonlinear Variational ProblemsVariational Problems
18
On the lowest eigenvalue of the Laplacian for the intersection of two domains
Élliott H. Lieb · Inventiones mathematicae · 1983 · 246 citations
Natural Sciences, Computational Engineering, Computational Fluid Dynamics +7
Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
F. J. Almgren · Memoirs of the American Mathematical Society · 1976 · 228 citations · Full text
Natural Sciences, Mathematics, Fluid Mechanics +14
An existence result for a class of shape optimization problems
Giuseppe Buttazzo, Gianni Dal Maso · Archive for Rational Mechanics and Analysis · 1993 · 197 citations
Natural Sciences, Mathematics, Design Optimization +9
Connected components of sets of finite perimeter and applications to image processing
Luigi Ambrosio, Vicent Caselles, Simon Masnou et al. · Journal of the European Mathematical Society · 2001 · 170 citations · Full text
Natural Sciences, Computer Science, Mathematics +14
Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
Giuseppe Buttazzo, Gianni Dal Maso · Applied Mathematics & Optimization · 1991 · 139 citations
Engineering, Computational Engineering, Mechanical Engineering +12