EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC

Title & Authors
EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC
Yin, Honghui; Liu, Ying;

Abstract
The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Ricceri [11].
Keywords
p(x)-biharmonic;three solutions;existence;
Language
English
Cited by
1.
On a p()-biharmonic problem with no-flux boundary condition, Computers & Mathematics with Applications, 2016, 72, 9, 2505
2.
Existence of one weak solution for p(x)-biharmonic equations with Navier boundary conditions, Zeitschrift für angewandte Mathematik und Physik, 2016, 67, 3
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