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Inequalities for second-order elliptic equations with applications to unbounded domains I
H. Berestycki, L. A. Caffarelli, and L. Nirenberg
Source: Duke Math. J. Volume 81, Number 2
(1996), 467-494.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077245673
Mathematical Reviews number (MathSciNet): MR1395408
Zentralblatt MATH identifier: 0860.35004
Digital Object Identifier: doi:10.1215/S0012-7094-96-08117-X
References
[AT] C. J. Amick and J. F. Toland, Nonlinear elliptic eigenvalue problems on an infinite strip. Global theory of bifurcation and asymptotic bifurcation, Math. Ann. 262 (1983), no. 3, 313–342.
Mathematical Reviews (MathSciNet): MR84g:35017
Zentralblatt MATH: 0489.35067
Digital Object Identifier: doi:10.1007/BF01456013
[Ba] P. Bauman, Positive solutions of elliptic equations in nondivergence form and their adjoints, Ark. Mat. 22 (1984), no. 2, 153–173.
Mathematical Reviews (MathSciNet): MR86m:35008
Zentralblatt MATH: 0557.35033
Digital Object Identifier: doi:10.1007/BF02384378
[B] H. Berestycki, Le nombre de solutions de certains problèmes semi-linéaires elliptiques, J. Funct. Anal. 40 (1981), no. 1, 1–29.
Mathematical Reviews (MathSciNet): MR82k:35033
Zentralblatt MATH: 0452.35038
Digital Object Identifier: doi:10.1016/0022-1236(81)90069-0
[BCN1] H. Berestycki, L. A. Caffarelli, and L. Nirenberg, Uniform estimates for regularization of free boundary problems, Analysis and Partial Differential Equations ed. C. Sadosky, Lecture Notes in Pure and Appl. Math., vol. 122, Dekker, New York, 1990, pp. 567–619.
Mathematical Reviews (MathSciNet): MR91b:35112
Zentralblatt MATH: 0702.35252
[BCN2] H. Berestycki, L. A. Caffarelli, and L. Nirenberg, Symmetry for elliptic equations in a half space, Boundary Value Problems for Partial Differential Equations and Applications ed. J. L. Lions, et al., RMA Res. Notes Appl. Math., vol. 29, Masson, Paris, 1993, pp. 27–42.
Mathematical Reviews (MathSciNet): MR95b:35019
Zentralblatt MATH: 0793.35034
[BCN3] H. Berestycki, L. A. Caffarelli, and L. Nirenberg, Monotonicity for elliptic equations in an unbounded Lipschitz domain, in preparation.
[BCN4] H. Berestycki, L. A. Caffarelli, and L. Nirenberg, Inequalities for second-order elliptic equations with applications to unbounded domains. II: Symmetry in infinite strips, preprint.
Mathematical Reviews (MathSciNet): MR1395408
Zentralblatt MATH: 0860.35004
Digital Object Identifier: doi:10.1215/S0012-7094-96-08117-X
Project Euclid: euclid.dmj/1077245673
[BN1] H. Berestycki and L. Nirenberg, Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains, Analysis, Et Cetera ed. P. Rabinowitz, et al., Academic Press, Boston, 1990, pp. 115–164.
Mathematical Reviews (MathSciNet): MR91i:35008
Zentralblatt MATH: 0705.35004
[BN2] H. Berestycki and L. Nirenberg, On the method of moving planes and the sliding method, Bol. Soc. Brasil. Mat. (N.S.) 22 (1991), no. 1, 1–37.
Mathematical Reviews (MathSciNet): MR93a:35048
Zentralblatt MATH: 0784.35025
Digital Object Identifier: doi:10.1007/BF01244896
[BNV] H. Berestycki, L. Nirenberg, and S. R. S. Varadhan, The principal eigenvalue and maximum principle for second-order elliptic operators in general domains, Comm. Pure Appl. Math. 47 (1994), no. 1, 47–92.
Mathematical Reviews (MathSciNet): MR95h:35053
Zentralblatt MATH: 0806.35129
Digital Object Identifier: doi:10.1002/cpa.3160470105
[BBT] J. L. Bona, D. K. Bose, and R. E. L. Turner, Finite-amplitude steady waves in stratified fluids, J. Math. Pures Appl. (9) 62 (1983), no. 4, 389–439 (1984).
Mathematical Reviews (MathSciNet): MR85e:76056
Zentralblatt MATH: 0491.35049
[CFMS] L. Caffarelli, E. Fabes, S. Mortola, and S. Salsa, Boundary behavior of nonnegative solutions of elliptic operators in divergence form, Indiana J. Math. 30 (1981), no. 4, 621–640.
Mathematical Reviews (MathSciNet): MR83c:35040
Zentralblatt MATH: 0512.35038
Digital Object Identifier: doi:10.1512/iumj.1981.30.30049
[E] M. Esteban, Nonlinear elliptic problems in strip-like domains. Symmetry of positive vortex rings, Nonlinear Anal. 7 (1983), no. 4, 365–379.
Mathematical Reviews (MathSciNet): MR84d:35054
Zentralblatt MATH: 0513.35035
Digital Object Identifier: doi:10.1016/0362-546X(83)90090-1
[GNN] B. Gidas, W. M. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 6 (1981), 883–901.
[GT] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd ed., Grundlehren Math. Wiss., vol. 224, Springer-Verlag, Berlin, 1983.
Mathematical Reviews (MathSciNet): MR86c:35035
Zentralblatt MATH: 0562.35001
[L] P. L. Lions, The concentration-compactness principle in the calculus of variations. The locally compact case. II, Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (1984), no. 4, 223–283.
Mathematical Reviews (MathSciNet): MR87e:49035b
Zentralblatt MATH: 0704.49004
[PW] M. H. Protter and H. F. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, N.J., 1967.
Mathematical Reviews (MathSciNet): MR36:2935
Zentralblatt MATH: 0549.35002
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