학술저널
EXISTENCE OF MULTIPLE SOLUTIONS OF A SEMILINEAR BIHARMONIC PROBLEM WITH VARIABLE COEFFICIENTS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 1
-
2011.02121 - 130 (10 pages)
- 2
We obtain multiplicity results for the biharmonic prob-lem with a variable coe±cient semilinear term. We show that there exist at least three solutions for the biharmonic problem with the variable coe±cient semilinear term under some conditions. We ob-tain this multiplicity result by applying the Leray-Schauder degree theory.
1. Introduction and statement of main result
2. A priori estimate
3. Proof of Theorem 1.1
(0)
(0)