Duke Mathematical Journal

Solutions of superlinear elliptic equations and their Morse indices, I

A. Harrabi, S. Rebhi, and A. Selmi
Source: Duke Math. J. Volume 94, Number 1 (1998), 141-157.
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Primary Subjects: 35J60
Secondary Subjects: 58E05
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077230080
Mathematical Reviews number (MathSciNet): MR1635912
Zentralblatt MATH identifier: 0952.35042
Digital Object Identifier: doi:10.1215/S0012-7094-98-09407-8

References

[1] A. Bahri and P. L. Lions, Solutions of superlinear elliptic equations and their Morse indices, Comm. Pure Appl. Math. 45 (1992), no. 9, 1205–1215.
Mathematical Reviews (MathSciNet): MR93m:35077
Zentralblatt MATH: 0801.35026
Digital Object Identifier: doi:10.1002/cpa.3160450908
[2] B. Gidas, W.-M. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), no. 3, 209–243.
Mathematical Reviews (MathSciNet): MR80h:35043
Zentralblatt MATH: 0425.35020
Digital Object Identifier: doi:10.1007/BF01221125
Project Euclid: euclid.cmp/1103905359
[3] B. Gidas and J. Spruck, A priori bounds for positive solutions of nonlinear elliptic equations, Comm. Partial Differential Equations 6 (1981), no. 8, 883–901.
Mathematical Reviews (MathSciNet): MR82h:35033
Zentralblatt MATH: 0462.35041
Digital Object Identifier: doi:10.1080/03605308108820196
[4] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Grundlehren Math. Wiss., vol. 224, Springer-Verlag, New York, 1977.
Mathematical Reviews (MathSciNet): MR57:13109
Zentralblatt MATH: 0361.35003
[5] S. I. Pohožaev, Eigenfunctions of $\Delta u+\lambda f(u)=0$, Soviet Math. Dokl. 6 (1965), 1408–1411.
Zentralblatt MATH: 0141.30202

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