Existence and multiplicity for solutions of Neumann problem for semilinear elliptic equations

Journal of Mathematical Analysis and Applications

Volumn 288, Issue 2, 2003, Pages 660-670

  Tang, Chun Lei ^a   Wu, Xing Ping ^a  

^a SOUTHWEST UNIVERSITY   (China)

Author keywords

Critical growth; Critical point; Least action principle; Minimax methods; Neumann problem

Indexed keywords

EID: 0347604025     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.09.034     Document Type: Article

References (12)

1. C.P. Gupta, Perturbations of second order linear elliptic problems by unbounded nonlinearities, Nonlinear Anal. 6 (1982) 919-933.
2. R. Iannacci, M.N. Nkashama, Nonlinear two point boundary value problem at resonance without Landesman-Lazer condition, Proc. Amer. Math. Soc. 10 (1989) 943-952.
3. J. Mawhin, Necessary and sufficient conditions for the solvability of nonlinear equations through the dual least action principle, in: X. Pu (Ed.), Workshop on Applied Differential Equations, Beijing, 1985, World Scientific, Singapore, 1986, pp. 91-108.
4. J. Mawhin, Semi-coercive monotone variational problems, Acad. Roy. Belg. Bull. Cl. Sci. 73 (1987) 118-130.
5. n action, Trans. Amer. Math. Soc. 310 (1988) 303-311.
6. R. Iannacci, M.N. Nkashama, Nonlinear boundary value problems at resonance, Nonlinear Anal. 11 (1987) 455-473.
7. C.-C. Kuo, On the solvability of a nonlinear second-order elliptic equations at resonance, Proc. Amer. Math. Soc. 124 (1996) 83-97.
8. C.-L. Tang, Solvability of Neumann problem for elliptic equation at resonance, Nonlinear Anal. 44 (2001) 323-335.
9. C.-L. Tang, Some existence theorems for sublinear Neumann boundary value problem, Nonlinear Anal. 48 (2002) 1003-1011.
10. H. Brezis, L. Nirenberg, Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991) 939-963.
11. J. Mawhin, M. Willem, Critical Point Theory and Hamiltonian Systems, Springer-Verlag, New York, 1989.
12. K. Yosida, Functional Analysis, 6th ed., Springer-Verlag, Berlin, 1980.