A priori bounds for positive solutions of nonlinear elliptic equations. (English) Zbl 0462.35041
MSC:
35J65 | Nonlinear boundary value problems for linear elliptic equations |
35B45 | A priori estimates in context of PDEs |
Keywords:
a priori bounds; nonnegative solutions; nonlinear second order problem; elliptic linear part in divergence form; Liouville type resultCitations:
Zbl 0423.35048References:
[1] | Ambrosetti A., J. Funct. Anal. 14 pp 349– (1973) · Zbl 0273.49063 · doi:10.1016/0022-1236(73)90051-7 |
[2] | Brézis H., Commun. in P. D. E. 2 pp 601– (1977) · Zbl 0358.35032 · doi:10.1080/03605307708820041 |
[3] | Caffareli L. Gidas B. Spruck J. to appear |
[4] | DeFigueiredo D., C. R. Acad. Sc. 290 pp 217– (1980) |
[5] | Gidas B., Commun. Math. Phys. 68 pp 209– (1979) · Zbl 0425.35020 · doi:10.1007/BF01221125 |
[6] | Gidas B., Commun. Pure and Appl. Math. (1981) |
[7] | Morrey C.B., Multiple Integrals in the Calculus of Variations (1966) · Zbl 0142.38701 |
[8] | Nussbaum R.D., J. Math. Analy. and Appl. 51 pp 461– (1975) · Zbl 0304.35047 · doi:10.1016/0022-247X(75)90133-X |
[9] | Turner R.E.L., Duke Math. J. 41 pp 759– (1974) · Zbl 0294.35033 · doi:10.1215/S0012-7094-74-04179-9 |
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