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A compactness embedding lemma, a principle of symmetric criticality and applications to elliptic problems
De Morais, Daniel C.
[1]
;
Souto, Marco Aurelio S.
[1]
;
do Ó, Joao Marcos
[1]
[1]
Universidade Federal da Paraíba
Universidade Federal da Paraíba
Brasil
Localización:
Proyecciones: Journal of Mathematics
,
ISSN
0716-0917,
ISSN-e
0717-6279,
Vol. 19, Nº. 1, 2000
,
págs.
1-17
Idioma:
inglés
DOI
:
10.22199/S0716-09172000000100001
Enlaces
Texto completo
Referencias bibliográficas
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[2] C.O. Alves - J. V. Goncalves - O. H. Miyagaki, Multiple positive solutions for semilinear elliptic equations in RN involving critical...
[3] Alves, C.O; D. C. de Morais Filho & M. A. S. Souto, On a system of elliptic equations with subcritical Sobolev exponent, Proceedings...
[4] J. G. Azorero - I. P. Alonzo, Existence and nonuniqueness for pLaplacian: nonlinear eigenvalues, Comm. in Partial Differential Equations...
[5] J. G. Azorero - I. P. Alonzo, Problemas elípticos no lineales con exponentes críticos: falta de compacidad
[6] J. G. Azorero - I. P. Alonzo, Multiplicity of solutions for elliptic problems with critical exponent or with a nonsymmetric term, Transactions...
[7] V. Benci - G. Cerami, Existence of positive solutions of the equations ∆u + a(x)u = u N N− +2 2 in RN, J. Funct. Anal. 88,...
[8] H. Berestycki - P. L. Lions, Une methode locale pour l’existence de solutions positives de problemes semi-lineaires elliptiques dans RN,...
[9] H. Brezis - E. Lieb, A relation between pointwise convergence of functions and convergence functional, Proc. Amer. Math. Cos. 88, pp....
[10] H. Brezis - L. Nirenberg, Some variational problems with lack of compactness, Proc. Symp. Pure Math. (AMS) 45, pp. 165-201, (1986).
[11] H. Brezis - L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent, Comm. Pure and Appl....
[12] D. G. Costa, On a nonlinear elliptic problem, preprint, (1993).
[13] Y. Ding and S. Li, Existence of Solutions for Some Superlinear or Sublinear Elliptic Systems on RN, preprint (1993).
[14] H. Egnell, Semilinear elliptic equations involving critical Sobolev exponents, Arch. Rat. Mech. Anal. 104, pp. 27-56, (1988).
[15] H. Egnell, Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents, Arch. Rat. Mech. Anal. 104,...
[16] H. Egnell, Elliptic boundary value problems with singular coefficients and critical nonlinearities, Indiana Univ. Math. Journal, Vol....
[17] Kavian O., Introducion a théorie des points critiques et applications aux problemes elliptiques, Universite de Nancy, (1993).
[18] P. L. Lions, Symétrie et compacité dans les espaces de Sobolev, Journal of Functional Analysis 49, pp. 315-334 (1982).
[19] O. Miyagaki, On a class of semilinear elliptic problems in RN with critical growth, CMS Technical Report # 94-12, Univ. Winscosin (1994).
[20] J. Mawhin - M. Willem, Critical point theory and Hamiltonian systems. Springer Verlag, Berlin (1989).
[21] W. Omana and M. Willem, Homoclinic Orbits for a Class of Hamiltonian Systems, Diff. and Int. Eq. 5, pp. 1115-1120.
[22] R. S. Palais, The principle of Symmetric Criticality, Mathematical Physics (1979).
[23] P. H. Rabinowitz, On a Class of nonlinear Schödinger equations, ZAMP 43, (1992).
[24] W. A. Strauss, Existence of solitary waves in higher dimensions, Comm. Math. Phys. 55, pp. 149-162, (1977).
[25] G. Talenti, Best constant in Sobolev inequality, Ann. Math. 110, pp. 353-372 (1976).
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