On the regularity of the minimizer of a functional with exponential growth

Gary M. Lieberman

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 1, page 45-49
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Lieberman, Gary M.. "On the regularity of the minimizer of a functional with exponential growth." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 45-49. <http://eudml.org/doc/247382>.

@article{Lieberman1992,
abstract = {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.},
author = {Lieberman, Gary M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {regularity; minimizers; non-polynomial growth; smoothness; regularity; non-polynomial growth; minimizers; functional with exponential growth},
language = {eng},
number = {1},
pages = {45-49},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the regularity of the minimizer of a functional with exponential growth},
url = {http://eudml.org/doc/247382},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Lieberman, Gary M.
TI - On the regularity of the minimizer of a functional with exponential growth
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 1
SP - 45
EP - 49
AB - 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.
LA - eng
KW - regularity; minimizers; non-polynomial growth; smoothness; regularity; non-polynomial growth; minimizers; functional with exponential growth
UR - http://eudml.org/doc/247382
ER -

References

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  1. Duc D.M., Eells J., Regularity of exponentially harmonic functions, Intern. J. Math. 2 (1991), 395-408. (1991) Zbl0751.58007MR1113568
  2. Gilbarg D., Trudinger N.S., Elliptic Partial Differential Equations of Second Order, 2nd ed., Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1983. Zbl1042.35002MR0737190
  3. Ladyzhenskaya O.A., Ural'tseva N.N., Linear and Quasilinear Elliptic Equations, Izdat. Nauka, Moscow, 1964 (Russian). English translation: Academic Press, New York, 1968. 2nd Russian ed., 1973. Zbl0177.37404MR0244627
  4. Lieberman G.M., The conormal derivative problem for non-uniformly parabolic equations, Indiana Univ. Math. J. 37 (1988), 23-72. Addenda: ibid. 39 (1990), 279-281. (1988) Zbl0707.35077
  5. Lieberman G.M., Gradient estimates for a class of elliptic systems, Ann. Mat. Pura Appl., to appear. Zbl0819.35019MR1243951
  6. Serrin J., Gradient estimates for solutions of nonlinear elliptic and parabolic equations, in: Contributions to Nonlinear Functional Analysis, Academic Press, New York, 1971, 565-601. Zbl0271.35004MR0402274
  7. Simon L.M., Interior gradient bounds for non-uniformly elliptic equations, Indiana Univ. Math. J. 25 (1976), 821-855. (1976) MR0412605

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