| Title:
|
On the regularity of the minimizer of a functional with exponential growth (English) |
| Author:
|
Lieberman, Gary M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
45-49 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
regularity |
| Keyword:
|
minimizers |
| Keyword:
|
non-polynomial growth |
| MSC:
|
35J65 |
| MSC:
|
49N60 |
| idZBL:
|
Zbl 0776.49026 |
| idMR:
|
MR1173745 |
| . |
| Date available:
|
2009-01-08T17:53:24Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118469 |
| . |
| Reference:
|
[1] Duc D.M., Eells J.: Regularity of exponentially harmonic functions.Intern. J. Math. 2 (1991), 395-408. Zbl 0751.58007, MR 1113568 |
| Reference:
|
[2] Gilbarg D., Trudinger N.S.: Elliptic Partial Differential Equations of Second Order.2nd ed., Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1983. Zbl 1042.35002, MR 0737190 |
| Reference:
|
[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. Zbl 0177.37404, MR 0244627 |
| Reference:
|
[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. Zbl 0707.35077 |
| Reference:
|
[5] Lieberman G.M.: Gradient estimates for a class of elliptic systems.Ann. Mat. Pura Appl., to appear. Zbl 0819.35019, MR 1243951 |
| Reference:
|
[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. Zbl 0271.35004, MR 0402274 |
| Reference:
|
[7] Simon L.M.: Interior gradient bounds for non-uniformly elliptic equations.Indiana Univ. Math. J. 25 (1976), 821-855. MR 0412605 |
| . |
