Morse index and blow-up points of solutions of some nonlinear problems

Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni

Volumn 13, Issue 2, 2002, Pages 101-105

  El Mehdi, Khalil ^a   Pacella, Filomena ^b  

^a Struggle and Prevention   (Tunisia)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Blow up analysis; Elliptic problem; Morse index

Indexed keywords

EID: 84887217856     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. A. BAHRI - Y.Y. LI - O. REY, On a variational problem with lack of compactness: the topological effect of the critical points at infinity. Cal. Var. Partial Differential Equatios, 3, 1995, 67-93.
2. B. GIDAS - J. SPRUCK, A priori bounds for a positive solutions of nonlinear elliptic equation. Comm. Partial Differential Equation, 6, 1981, 883-901.
3. D. GILBARG - N.S. TRUDINGER, Elliptic Partial Differential Equations of Second Order. Grundlehren Math. Wiss., 224, Springer-Verlag, Berlin-New York 1983.
4. M. GROSSI - R. MOLLE, On the shape of the solutions of some semilinear elliptic problems. Preprint 2001.
5. n and related topics, Part I. J. Differential Equations, 120, 1995, 319-410.
6. S.I. POHOZAEV, Eigenfunctions of Δu + λf (u) = 0. Soviet. Math. Dokhl., 6, 1965, 1408-1411.
7. O. REY, The question of interior blow-up for an elliptic neumann problem: the critical case. Preprint Ecole Polytechnique 2001.
8. R. SCHOEN, Courses at Stanford University (1988) and New-York University (1989). Unpublished.