Asymptotically Linear Elliptic Equations Without Nonresonance Conditions

Journal of Differential Equations

Volumn 113, Issue 1, 1994, Pages 150-165

  Mizoguchi, Noriko ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003172702     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1006/jdeq.1994.1118     Document Type: Article

References (9)

1. H. AMANNA and E. ZEHNDER, Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations, Ann. Scuola norm. Pisa 7 (1980), 539-603.
2. A. CAPOZZI, D. LUPO, and S. SOLIMINI, ON THE EXISTENCE OF A NONTRIVIAL SOLUTION TO NONLINEAR PROBLEMS AT RESONANCE, Nonlinear Anal. 13 (1989), 151-163.
3. D. G. DE FIGUEIREDO and J.-P. GOSSEZ, Conditions de non-resonance pour certains problemes elliptiques semi-lineaires, C.R. Acad. Sci. Paris 302 (1986), 543-545.
4. D. G. DE FIGUEIREDO and J.-P. GOSSEZ, Nonresonance below the first eigenvalue for a semilinear elliptic problem, Math. Am. 281 (1988), 589-610.
5. N. HIRANO, EXISTENCE OF NONTRIVIAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS, Nonlinear Anal. 13 (1989), 695-705.
6. A. C. LAZER and S. SOLIMINI, Nontrivial solutions of operator equations and Morse indices of critical points of min-max type, Nonlinear Anal. 12 (1988), 761-775.
7. D. Lupo and S. Solimini, A note on a resonance problem, Proc. Roy. Soc. Edinburgh Sect. A 102 (1986), 1-7.
8. P. H. RABINOWITZ, Minimax methods in critical point theory with applications to differential equations, in "CBMS Regional Conference Series in Mathematics, " Vol. 65, Amer. Math. Soc., Providence, RI, 1986.
9. S. Solimini, On the solvability of some elliptic partial differential equations with the linear part at resonance, J. Math. Anal. Appl. 117 (1986), 138-152.