Multiplicity of solutions for a class of elliptic problem in ℝ2 with Neumann conditions

Journal of Differential Equations

Volumn 219, Issue 1, 2005, Pages 20-39

  Alves, Claudianor Oliveira ^a  

^a FEDERAL UNIVERSITY OF CAMPINA GRANDE   (Brazil)

Author keywords

Critical growth; Elliptic problem; Trudinger moser inequality

Indexed keywords

EID: 27944505182     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.11.010     Document Type: Article

References (14)

1. R.A. Adams Sobolev Spaces Academic Press New York, 1975.
2. 2 involving critical exponent Ann. Scuola Norm. Sup. Pisa 17 (1990) 393-413
3. C.O. Alves P.C. Carrião E.S. Medeiros Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions Abstract Appl. Anal. 3 (2004) 251-268
4. 2 involving critical growth Nonlinear Anal. 56 (2004) 781-791
5. A. Ambrosetti P.H. Rabinowitz Dual variational methods in critical point theory and applications J. Funct. Anal. 14 (1973) 349-381
6. V. Benci G. Cerami Positive solution of semilinear elliptic equation in exterior domains Arch. Rational Mech. Anal. 99 (1987) 283-300
7. 2 Commun. Partial Differential Equations 17 (1992) 407-435
8. D.M. Cao Multiple solutions for a Neumann problem in an exterior domain Commun. Partial Differential Equations 18 (1993) 687-700
9. 2 with nonlinearities in the critical growth range Calc. Var 3 (1995) 139-153
10. M.J. Esteban Nonsymmetric ground state of symmetric variational problems Comm. Pure Appl. Math. XLIV (1991) 259-274
11. N Commun. Partial Differential Equations 14 (1989) 1291-1314
12. P.L. Lions The concentration-compactness principle in the calculus of variations, the locally compact case Ann. Inst. H. Poincaré, Anal. Non Lineaire 1 (1984) 109-145.
13. C. Miranda Un'osservazione sul teorema di Brouwer Boll. Un. Mat. Ital. II A II XIX (1940) 5-7.
14. M. Willem Minimax Theorems, Progress in Nonlinear Differential Equations and Their Applications vol. 24 Birkhäuser Basel, 1996.