Méthodes Variationnelles et Applications `a Quelques Probl`emes d ...

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Liste de Publications [1] Buffoni B. et Jeanjean L., Bifurcation from the essential spectrum towards regular values, J. Reine Angew. Math., 445, 1993, 1-29. [2] Buffoni B. et Jeanjean L., Minimax characterisation of solutions for a semi-linear elliptic equation with lack of compactness, Ann. Inst. H. Poincaré, Anal. non-lin., 10, 1993, 377–404. [3] Buffoni B., Jeanjean L. et Stuart C.A., Existence of a non-trivial solution to a strongly indefinite semilinear equation, Proc. A.M.S., 119, 1993, 179-186. [4] Jeanjean L., Solution in spectral gaps for a nonlinear equation of Schrödinger type, J. Diff. Equat., 112, 1994, 53–80. [5] Jeanjean L., Approche minimax des solutions d’une équation semi-linéaire elliptique en l’absence de compacité, Ph. D. Thesis, EPFL, Lausanne, 1992. [6] Jeanjean L., Existence of connecting orbits in a potential well, Dyn. Sys. Appl., 3, 1994, 537-562. [7] Giannoni F., Jeanjean L. et Tanaka K., Homoclinic orbits on non-compact Riemannian manifolds for second order Hamiltonian systems, Rend. Sem. Mat. Univ. Padova, 3, 1995, 153-176. [8] Jeanjean L., Existence of solutions with prescribed norm for semilinear elliptic equations, Nonlinear Analysis TMA, 28, 1997, 10, 1633-1659. [9] Bertotti M.L. et Jeanjean L., Multiplicity of homoclinic solutions for singular second order conservative systems, Proc. Roy. Soc. Edinburgh, 128 A, 1996, 1169-1180. [10] Jeanjean L., Two positive solutions for a class of nonhomogeneous elliptic equations, Diff. Int. Equat., 10, 1997, 609-624. [11] Caldiroli P. et Jeanjean L., Homoclinics and Heteroclinics for a class of conservative singular Hamiltonian systems, J. Diff. Equ., 136, 1997, 76-114. [12] Jeanjean L., On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer type problem set on R N , Proc. Roy. Soc. Edinburgh, to appear. [13] Jeanjean L. et Toland J.F., Bounded Palais-Smale Mountain-Pass sequences, C. R. Acad. Sci. Paris, t. 327, 1, 1998, 23-28. [14] Jeanjean L., Local conditions insuring bifurcation from the continuous spectrum, Math. Z., à paraitre. [15] Giacomoni J. et Jeanjean L., A new variational approach to bifurcation into spectral gaps, prépublication. 57
[16] Alessio F., Jeanjean L. et Montecchiari P., Stationary layered solutions in R 2 for a class of non autonomous Allen-Cahn equations, prépublication. 58
Page 1 and 2: Méthodes Variationnelles et Applic
Page 3 and 4: Comme p < 1, le terme négatif donn
Page 5 and 6: Les exemples que nous avons traité
Page 7 and 8: la partie des solutions appartenant
Page 9 and 10: solution non-triviale pour tout λ
Page 11 and 12: 3 Orbites homoclines : [6,7,9,11] A
Page 13 and 14: (2) Si V est C 2 , V ′ = 0 sur
Page 15 and 16: Sous ces hypothèses, x = 0 est un
Page 17 and 18: estriction de vk à un intervalle c
Page 19 and 20: variationnelle est maintenant plus
Page 21 and 22: On munit H := H 1 (R N ) de la norm
Page 23 and 24: et |x i n| → ∞, |x i n − x j
Page 25 and 26: On remarque que l’hypothèse (∗
Page 27 and 28: est soit sur-linéaire soit asympto
Page 29 and 30: La simplicité de la preuve du Thé
Page 31 and 32: Mentionnons que dans [12] le Théor
Page 33 and 34: Dans les études sur la bifurcation
Page 35 and 36: δ 1− (A4) Il existe K > 0 tel qu
Page 37 and 38: Bibliographie [ABG] Alama S., Brons
Page 39 and 40: [BN1] Brezis H. et Nirenberg L., Po
Page 41 and 42: [M] Melnikov V.K., On the stability
Page 43: [Tr] Troestler C., Bifurcation into

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