Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2017; 54(3): 821-833
Online first article December 27, 2016 Printed May 1, 2017
https://doi.org/10.4134/JKMS.j160276
Copyright © The Korean Mathematical Society.
Infinitely many solutions for a class of the elliptic systems with even functionals
Q-Heung Choi and Tacksun Jung
Inha University, Kunsan National University
We get a result that shows the existence of infinitely many solutions for a class of the elliptic systems involving subcritical Sobolev exponents nonlinear terms with even functionals on the bounded domain with smooth boundary. We get this result by variational method and critical point theory induced from invariant subspaces and invariant functional.
Keywords: elliptic system, deformation lemma, $(P.S.)^{*}$ condition, subcritical Sobolev exponents, variational method, critical point theory, invariant functional, invariant subspaces
MSC numbers: 35J47, 35J50, 35J57
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Existence of solutions to a generalized self-dual Chern-Simons equation on finite graphs
2024; 61(1): 133-147
-
Existence, multiplicity and regularity of solutions for the fractional $p$-Laplacian equation
2020; 57(6): 1451-1470
-
The fractional Schr\"{o}dinger-Poisson systems with infinitely many solutions
2020; 57(2): 489-506
-
Existence of weak solutions to a class of Schr\"{o}dinger type equations involving the fractional $p$-Laplacian in $\mathbb R^{N}$
2019; 56(6): 1529-1560
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd