# INFINITELY MANY SOLUTIONS FOR A CLASS OF THE ELLIPTIC SYSTEMS WITH EVEN FUNCTIONALS

• Choi, Q-Heung (Department of Mathematics Education Inha University) ;
• Jung, Tacksun (Department of Mathematics Kunsan National University)
• Published : 2017.05.01
• 67 24

#### Abstract

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

#### Acknowledgement

Supported by : Inha University

#### References

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3. P. H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conference Series in Mathematics, 65. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1986.