[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2017.25.3.455

APPLICATIONS OF TOPOLOLOGICAL METHODS TO THE SEMILINEAR BIHARMONIC PROBLEM WITH DIFFERENT POWERS

Jung, Tacksun (Department of Mathematics Kunsan National University)
Choi, Q-Heung (Department of Mathematics Education Inha University)

Publication Information

Korean Journal of Mathematics / v.25, no.3, 2017 , pp. 455-468 More about this Journal

Abstract

We prove the existence of multiple solutions for the fourth order nonlinear elliptic problem with fully nonlinear term. Our method is based on the critical point theory; the variation of linking method and category theory.

Keywords

Fourth order elliptic boundary value problem; fully nonlinear term; critical point theory; variation of linking method;

Citations & Related Records

Reference

1	Choi, Q. H. and Jung, T., Multiplicity of solutions and source terms in a fourth order nonlinear elliptic equation, Acta Mathematica Scientia 19 (4) (1999), 361-374. DOI
2	Choi, Q. H. and Jung, T., Multiplicity results on nonlinear biharmonic operator, Rocky Mountain J. Math. 29 (1) (1999), 141-164. DOI
3	Hofer, H., On strongly indefinite functionals with applications, Trans. Amer. Math. Soc. 275 (1983), 185-214. DOI
4	Jung, T. S. and Choi, Q. H., Multiplicity results on a nonlinear biharmonic equation, Nonlinear Analysis, Theory, Methods and Applications 30 (8) (1997), 5083-5092. DOI
5	Jung, T. S. and Choi, Q. H., A Variation of Linking for the Semilinear Biharmonic Problem , Preprint.
6	Li, S. and Squlkin, A., Periodic solutions of an asymptotically linear wave equation, Nonlinear Analysis, Theory, Methods and Applications 1 (1993), 211-230.
7	Micheletti, A. M. and Pistoia, A., Multiplicity results for a fourth-order semilinear elliptic problem, Nonlinear Analysis, TMA, 31 (7) (1998), 895-908. DOI
8	Tarantello, A note on a semilinear elliptic problem, Diff. Integ. Equat. 5 (3) (1992), 561-565.