@article{AIHPC_1993__10_4_377_0, author = {Buffoni, Boris and Jeanjean, Louis}, title = {Minimax characterization of solutions for a semi-linear elliptic equation with lack of compactness}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {377--404}, publisher = {Gauthier-Villars}, volume = {10}, number = {4}, year = {1993}, mrnumber = {1246458}, zbl = {0828.35013}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1993__10_4_377_0/} }
TY - JOUR AU - Buffoni, Boris AU - Jeanjean, Louis TI - Minimax characterization of solutions for a semi-linear elliptic equation with lack of compactness JO - Annales de l'I.H.P. Analyse non linéaire PY - 1993 SP - 377 EP - 404 VL - 10 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1993__10_4_377_0/ LA - en ID - AIHPC_1993__10_4_377_0 ER -
%0 Journal Article %A Buffoni, Boris %A Jeanjean, Louis %T Minimax characterization of solutions for a semi-linear elliptic equation with lack of compactness %J Annales de l'I.H.P. Analyse non linéaire %D 1993 %P 377-404 %V 10 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1993__10_4_377_0/ %G en %F AIHPC_1993__10_4_377_0
Buffoni, Boris; Jeanjean, Louis. Minimax characterization of solutions for a semi-linear elliptic equation with lack of compactness. Annales de l'I.H.P. Analyse non linéaire, Tome 10 (1993) no. 4, pp. 377-404. http://archive.numdam.org/item/AIHPC_1993__10_4_377_0/
[1] Existence of Solutions for Semilinear Elliptic Equations with Indefinite Linear Part, J. Diff. Eqns., 96, 1992, pp. 89-115. | MR | Zbl
and ,[2] L'analyse nonlinéaire et ses motivations économiques, Masson, Paris, 1984. | MR | Zbl
,[3] Critical Point Theory for Strongly Indefinite Functionals with Symmetries, Trans. A.M.S., 274, 1982. | MR | Zbl
,[4] Critical Point Theorems for Indefinite Functions, Invent. Math., Vol. 52, 1979, pp. 241-273. | MR | Zbl
and ,[5] Bifurcation from the Spectrum Towards Regular Value, to appear in J. Reine Angew. Math. | MR | Zbl
and ,[6] Methods of Bifurcation Theory, Springer, Berlin, 1982. | MR | Zbl
and ,[7] Lacunary Bifurcation for Operator Equations and Nonlinear Boundary Value Problems on RN, Proceedings of the Royal Society of Edinburgh, 118 A, 237-270, 1991. | MR | Zbl
,[8] Existence and Gap-Bifurcation of Multiple Solutions to Certain Nonlinear Eigenvalue Problems, preprint. | MR
,[9] Existence and Bifurcation of Solutions for Nonlinear Perturbations of the Periodic Schrödinger Equation, J. Diff. Eqns., Vol. 100, 2, 1992, pp. 341-354. | MR | Zbl
, and ,[10] Solvability of Nonlinear Equation in Spectral Gaps of the Linearisation, Nonlinear Analysis - TMA, Vol. 19, 2, 1992, pp. 145-165. | MR | Zbl
and ,[11] Bifurcation Into Gaps in the Essential Spectrum, J. Reine Angew. Math., Vol. 409, 1990, pp. 1-34. | MR | Zbl
and ,[12] Necessary and Sufficient Conditions for Gap-Bifurcation, Nonlinear Analysis, Vol. 18, 1992, pp. 893-903. | MR | Zbl
and ,[13] Gap-Bifurcation for Nonlinear Perturbations of Hill's Equation, J. Reine Angew. Math., Vol. 410, 1990, pp. 23-52. | MR | Zbl
and ,[14] The Concentration-Compactness Principle in the Calculus of Variations, Part 1, Ann. Inst. H. Poincaré, Anal. non lin., Vol. 1, 1984, pp. 109-145. | Numdam | MR | Zbl
,[15] The Concentration-Compactness Principle in the Calculus of Variations, Part 2, Ann. Inst. H. Poincaré, Anal. non lin., Vol. 1, 1984, pp. 223-283. | Numdam | MR | Zbl
,[16] Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS conference lectures, A.M.S., Providence, 1986. | MR | Zbl
,[17] The Existence of Infinitely Many Bifurcation Branches, Proc. Roy. Soc. Edinbourgh, Vol. 101, 1985, pp. 307-320. | MR | Zbl
,[18] Nodal Characterisation of Bifurcating Branches in Lp (R) for a Semilinear Equation, J. Diff. Eqns., Vol. 99, 1, 1992, pp. 153-203. | MR | Zbl
,[19] Bifurcation from the Continuous Spectrum in L2-Theory of Elliptic Equations on RN, in Recent Methods in Nonlinear Analysis and Applications, Liguori, Napoli, 1981. | Zbl
,[20] Bifurcation for Dirichlet Problems Without Eigenvalues, Proc. London Math. Meth. Soc., Vol. 45, 1982, pp. 169-192. | MR | Zbl
,[21] Bifurcation in Lp (RN) for a Semilinear Elliptic Equation, Proc. London Math. Meth. Soc., (3), Vol. 57, 1988, pp. 511-541. | MR | Zbl
,[22] Bifurcation from the Essential Spectrum for Some Non-Compact Nonlinearities, Math. in the applied sciences, Vol. 11, 1989, pp. 525-542. | MR | Zbl
,[23] Bifurcation from the Essential Spectrum of Superlinear Elliptic Equations, Appl. Anal., Vol. 28, 1988, pp. 51-66. | MR | Zbl
and ,