@article{ASNSP_1990_4_17_4_481_0,
author = {Adimurthi and Yadava, S. L.},
title = {Multiplicity results for semilinear elliptic equations in a bounded domain of $\mathbb {R}^2$ involving critical exponents},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {481--504},
year = {1990},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 17},
number = {4},
mrnumber = {1093706},
zbl = {0732.35029},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1990_4_17_4_481_0/}
}
TY - JOUR
AU - Adimurthi
AU - Yadava, S. L.
TI - Multiplicity results for semilinear elliptic equations in a bounded domain of $\mathbb {R}^2$ involving critical exponents
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
SP - 481
EP - 504
VL - 17
IS - 4
PB - Scuola normale superiore
UR - https://www.numdam.org/item/ASNSP_1990_4_17_4_481_0/
LA - en
ID - ASNSP_1990_4_17_4_481_0
ER -
%0 Journal Article
%A Adimurthi
%A Yadava, S. L.
%T Multiplicity results for semilinear elliptic equations in a bounded domain of $\mathbb {R}^2$ involving critical exponents
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1990
%P 481-504
%V 17
%N 4
%I Scuola normale superiore
%U https://www.numdam.org/item/ASNSP_1990_4_17_4_481_0/
%G en
%F ASNSP_1990_4_17_4_481_0
Adimurthi; Yadava, S. L. Multiplicity results for semilinear elliptic equations in a bounded domain of $\mathbb {R}^2$ involving critical exponents. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 17 (1990) no. 4, pp. 481-504. https://www.numdam.org/item/ASNSP_1990_4_17_4_481_0/
[1] , Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the n-Laplacian, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 17, 1990, pp. 393-413. | Zbl | Numdam
[2] - , Elementary proof of the non-existence of nodal solutions for the semilinear elliptic equations with critical Sobolev exponent, Nonlinear Analysis TMA 14, 1990. | Zbl
[3] - , Bifurcation results for semilinear elliptic problem with critical exponent in R2, Nonlinear Analysis TMA 14, (1990), pp. 607-612. | Zbl
[4] , , A note on non-existence of nodal solutions of the semilinear elliptic equations with critical exponent in R2, Trans. Amer. Math. Soc., to appear.
[5] - , Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973), pp. 349-381. ' | Zbl
[6] - - , Nodal solutions of elliptic equations with critical Sobolev exponents, C.R. Acad. Sci. Paris t-306 Série 1 (1988), pp. 711-714. | Zbl
[7] - - , Abstract critical point Theorem and applications to some nonlinear problems with "strong resonance" at infinity. Nonlinear Analysis TMA 7 (1983), pp. 981-1012. | Zbl
[8] - , Positive solutions of non-linear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), pp. 437-477. | Zbl
[9] - - , An existence result for nonlinear elliptic problems involving critical Sobolev exponent, Ann. Inst. Henri Poincaré 2 (1985), pp. 463-470. | Zbl | Numdam
[10] - - , Some existence results for superlinear elliptic boundary value problems involving critical exponents, J. Funct. Anal. 69 (1986), pp. 289-306. | Zbl
[11] - , Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains, Proc. Roy. Soc. Edinburgh 105 (1987), pp. 205-213. | Zbl
[12] , Un'osservazione sul teorema di Brouwer, Boll. Un. Mat. Ital. Ser. II Anno III 19 (1940), pp. 5-7. | Zbl | JFM
[13] , Characteristic values associated with a class of nonlinear second-order differential equations, Acta Mathematica 105 (1961), pp. 141-175. | Zbl
[14] , On the existence of inifinitely many radial solutions for some elliptic problems, Preprint.





