MULTIPLE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC-EQUATIONS

Authors
JIN ZR
Citation
Zr. Jin, MULTIPLE SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC-EQUATIONS, Proceedings of the American Mathematical Society, 125(12), 1997, pp. 3659-3667
Citations number
6
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
12
Year of publication
1997
Pages
3659 - 3667
Database
ISI
SICI code
0002-9939(1997)125:12<3659:MSFACO>2.0.ZU;2-S
Abstract
We show that for a class of semilinear elliptic equations there are at least three nontrivial solutions. Existence of infinitely many soluti ons is also shown when the nonlinear term is odd. In our results, the nonlinear term can grow super-critically at infinity.