@article{RSMUP_2003__110__147_0, author = {Castorina, Daniele and Mancini, Gianni}, title = {Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {147--160}, publisher = {Seminario Matematico of the University of Padua}, volume = {110}, year = {2003}, mrnumber = {2033005}, zbl = {1121.35053}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2003__110__147_0/} }
TY - JOUR AU - Castorina, Daniele AU - Mancini, Gianni TI - Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2003 SP - 147 EP - 160 VL - 110 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2003__110__147_0/ LA - en ID - RSMUP_2003__110__147_0 ER -
%0 Journal Article %A Castorina, Daniele %A Mancini, Gianni %T Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter %J Rendiconti del Seminario Matematico della Università di Padova %D 2003 %P 147-160 %V 110 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2003__110__147_0/ %G en %F RSMUP_2003__110__147_0
Castorina, Daniele; Mancini, Gianni. Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter. Rendiconti del Seminario Matematico della Università di Padova, Tome 110 (2003), pp. 147-160. http://archive.numdam.org/item/RSMUP_2003__110__147_0/
[1] The Neumann problem for elliptic equations with critical non-linearity, A tribute in honor to G. Prodi, Scuola Normale Superiore di Pisa, 1991, pp. 9-25. | Zbl
- ,[2] The role of the mean curvature in semilinear Neumann problem involving critical exponent, Communications in Partial Differential Equations, 20 no. 3/4 (1995), pp. 591-631. | MR | Zbl
- - ,[3] Characterization of concentration points and LQ estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent, Differential and Integral Equations, 8, no. 1 (1995), pp. 41-68. | MR | Zbl
- - ,[4] Existence and nonexistence of interior peaked solutions for a nonlinear Neumann problem, Pacific Journal of Mathematics, 200, no. 1 (2001), pp. 19-41. | MR | Zbl
- - ,[5] Problems de Neumann nonlineaires sur les varietes riemanniennes, Journal of Functional Analysis, 57 (1984), pp. 154-206. | MR | Zbl
,[6] Pohozaev type obstructions and solutions of bounded energy for quasilinear elliptic equations with critical Sobolev growth. The conformally flat case, Nonlinear Anal., 51, no. 1 (2002), Ser A: Theory Methods, pp. 79-94. | MR | Zbl
- - ,[7] Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case, preprint, June 2002. | MR | Zbl
- - ,[8] On a singularly perturbed Neumann problem with the critical exponent, Comm. P.D.E., 6, no. 11-12 (2001), pp. 1929-1946. | MR | Zbl
- - ,[9] Elliptic Partial Differential Equations of Second Order, Springer, 1983. | MR | Zbl
- ,[10] Nonlinear elliptic equations of critical Sobolev growth from a dynamical point of view, preprint.
,[11] The role of the boundary in some semilinear Neumann problems, Rendiconti del Seminario Matematico della Università di Padova, 88 (1992), pp. 127-138. | Numdam | MR | Zbl
- ,[12] The question of interior blow-up points for an elliptic problem: the critical case, Journal de Mathematiques pures et appliquees, 81 (2002), pp. 655-696. | MR | Zbl
,[13] Boundary effect for an elliptic Neumann problem with critical nonlinearity, Communications in partial differential equations, 22, no. 7-8 (1997), pp. 1055-1139. | MR | Zbl
,[14] Variational Methods, applications to nonlinear partial differential equations and Hamiltonian systems, Springer, 1990. | MR | Zbl
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