Multiplicity results for a fourth-order semilinear elliptic problem

Nonlinear Analysis, Theory, Methods and Applications

Volumn 31, Issue 7, 1998, Pages 895-908

  Micheletti, Anna Maria ^a   Pistoia, Angela ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

A variation of linking; Linking scale; Multiple solutions; Travelling waves

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING; VARIATIONAL TECHNIQUES;

A VARIATION OF LINKING THEOREM; LINKING SCALE THEOREM; SEMILINEAR ELLIPTIC EQUATIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0032017567     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00446-X     Document Type: Article

References (12)

1. Lazer, A. C. and McKenna, P. J., Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis. SIAM Review, 1990, 32, 537-578.
2. McKenna, P. J. and Walter, W., Nonlinear oscillations in a suspension bridge. Arch. Ration. Mech. Anal., 1987, 98, 167-177.
3. Tarantello, G., A note on a semilinear elliptic problem. Diff. Integ. Equat., 1992, 5(3), 561-565.
4. Lazer, A. C. and McKenna, P. J., Global bifurcation and a theorem of Tarantello. Journ. Math. Anal. Appl., 1994, 181, 648-655.
5. Marino, A., Micheletti, A. M. and Pistoia, A., Some variational results on semilinear problems with asympotically nonsymmetric behaviour. Nonlinear Analysis "A tribute in honour of G. Prodi", S.N.S. Pisa, 1991, pp. 243-256.
6. Schlechter, M. and Tintarev, K., Pairs of critical points produced by linking subsets with application to semilinear elliptic problems. Bull. Soc. Math. Belg., 1992, 44(3), ser. B, 249-261.
7. Rabinowitz, P., Minimax methods in critical point theory with applications to differential equations. C.B.M.S. Reg. Conf. Ser. in Math. 65. American Mathematical Society, Providence, RI, 1986.
8. Marino, A., Micheletti, A. M. and Pistoia, A., A nonsymmetric asymptotically linear elliptic problem. Topol. Meth. Nonlin. Anal., 1994, 4, 289-339.
9. Gilbarg, D. and Trudinger, N. S., Elliptic Partial Differential Equations of Second Order. Springer-Verlag, New York, 1983.
10. Dancer, E. N., On the Dirichlet problem for weakly nonlinear elliptic partial differential equations. Proc. Roy. Soc. Edinb., 1977, 76A, 283-300.
11. Ramos, M., Teoremas de enlaces na teoria dos pontos críticos. Faculdade de Ciéncias da Universidade de Lisboa, Departmento del Matemática, 1993.
12. Dancer, E. N., Generic domain dependence for nonsmooth equations and the open set problem for jumping nonlinearities. Top. Met. Nonlin. An., 1993, 1, 139-150.