×

zbMATH — the first resource for mathematics

Geometric properties of solutions to maximization problems. (English) Zbl 1109.49305
Summary: We investigate the geometric configuration of the maxima of some functionals associated with solutions to Dirichlet problems for special elliptic equations. We also discuss the symmetry breaking and symmetry preservation of the solutions in some particular cases.

MSC:
49J10 Existence theories for free problems in two or more independent variables
35J25 Boundary value problems for second-order elliptic equations
49K10 Optimality conditions for free problems in two or more independent variables
PDF BibTeX XML Cite
Full Text: EMIS EuDML