Journal of the
Korean Mathematical Society
JKMS
ISSN(Print) 0304-9914
ISSN(Online) 2234-3008
Article
HOME
ALL ARTICLES
View
ALL ARTICLES
View
J. Korean Math. Soc. 2000; 37(6): 943-956
Printed November 1, 2000
Copyright © The Korean Mathematical Society.
Infinitely many solutions of a wave equation with jumping nonlinearity
Q-Heung Choi and Tacksun Jung
We investigate a relation between multiplicity of solutions and source terms of jumping problem in a wave equation when the nonlinearity crosses an eigenvalue and the source term is generated by finite eigenfunctions. We also show that the jumping problem has infinitely many solutions when the source term is positive multiple of the positive eigenfunction.
Keywords: multiplicity of solutions, eigenvalue, eigenfunction
MSC numbers: 35BI0, 35L20
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
A nonlinear beam equation with nonlinearity crossing an eigenvalue
1997; 34(3): 609-622
-
Evolution and monotonicity for a class of quantities along the Ricci-Bourguignon flow
2019; 56(6): 1441-1461
-
On skew symmetric operators with eigenvalues
2015; 52(6): 1271-1286
-
Convergence rate for lower bounds to self-adjoint operators
1996; 33(3): 513-525
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd