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 
@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},
     year = {2003},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {110},
     mrnumber = {2033005},
     zbl = {1121.35053},
     language = {en},
     url = {https://www.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  - https://www.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 https://www.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. https://www.numdam.org/item/RSMUP_2003__110__147_0/

[1] Adimurthi - G. Mancini, 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] Adimurthi - G. Mancini - S. L. Yadava, 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. | Zbl | MR

[3] Adimurthi - F. Pacella - S. L. Yadava, 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. | Zbl | MR

[4] D. Cao - E. S. Noussair - S. Yan, Existence and nonexistence of interior peaked solutions for a nonlinear Neumann problem, Pacific Journal of Mathematics, 200, no. 1 (2001), pp. 19-41. | Zbl | MR

[5] P. Cherrier, Problems de Neumann nonlineaires sur les varietes riemanniennes, Journal of Functional Analysis, 57 (1984), pp. 154-206. | Zbl | MR

[6] O. Druet - E. Hebey - M. Vaugon, 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. | Zbl | MR

[7] V. Felli - E. Hebey - F. Robert, Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case, preprint, June 2002. | Zbl | MR

[8] N. Ghoussub - C. Gui - M. Zhu, On a singularly perturbed Neumann problem with the critical exponent, Comm. P.D.E., 6, no. 11-12 (2001), pp. 1929-1946. | Zbl | MR

[9] D. Gilbarg - N. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, 1983. | Zbl | MR

[10] E. Hebey, Nonlinear elliptic equations of critical Sobolev growth from a dynamical point of view, preprint.

[11] G. Mancini - R. Musina, The role of the boundary in some semilinear Neumann problems, Rendiconti del Seminario Matematico della Università di Padova, 88 (1992), pp. 127-138. | Zbl | MR | Numdam

[12] O. Rey, 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. | Zbl | MR

[13] O. Rey, Boundary effect for an elliptic Neumann problem with critical nonlinearity, Communications in partial differential equations, 22, no. 7-8 (1997), pp. 1055-1139. | Zbl | MR

[14] M. Struwe, Variational Methods, applications to nonlinear partial differential equations and Hamiltonian systems, Springer, 1990. | Zbl | MR