On the regularity of the minimizer of a functional with exponential growth. (English) Zbl 0776.49026

Lieberman, Gary M.

Commentat. Math. Univ. Carol. 33, No. 1, 45-49 (1992).

Summary: Minimizers of a functional with exponential growth are shown to be smooth. The techniques developed for power growth are not applicable to the exponential case.

MSC:

49N60	Regularity of solutions in optimal control
35J65	Nonlinear boundary value problems for linear elliptic equations

Keywords:

smoothness; regularity; non-polynomial growth; minimizers; functional with exponential growth