A multiplicity result for elliptic equations at critical growth in low dimension

Communications in Contemporary Mathematics

Volumn 5, Issue 2, 2003, Pages 171-177

  Devillanova, Giuseppe ^a   Solimini, Sergio ^a  

^a NONE

Author keywords

Critical Sobolev exponent; Elliptic equations

Indexed keywords

EID: 0037397555     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199703000938     Document Type: Article

References (8)

1. F. V. Atkinson, H. Brezis and L. A. Peletier, Nodal solutions of elliptic equations with critical Sobolev exponents, J. Funct. Anal. 85 (1990) 151-170.
2. H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983) 437-477.
3. G. Cerami and S. Solimini, Multiplicity Problems for elliptic equations with nonlinearities at critical growth, Rend. 1st. Matem. Univ. Trieste XVIII (1986) 93-99.
4. G. Cerami, S. Solimini and M. Struwe, Some existence results for superlinear elliptic boundary value problems involving critical exponents, J. Funct. Anal. 69 (1986) 289-306.
5. G. Devillanova and S. Solimini, Concentrations estimates and multiple solutions to elliptic problems at critical growth, Advances in Differential Equation 7 (2002) 1257-1280.
6. D. Fortunato and E. Jannelli, Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains, Proc. Roy. Soc. Edinburgh 105A (1987) 205-213.
7. S. Solimini, On the existence of infinitely many radial solutions for some elliptic problems, Rev. Mat. Ap. (1986), pp. 75-86.
8. M. Struwe, A global compactness result for elliptic boundary value problems involving limiting nonlinearities, Math. Z. 187 (1984) 511-517.