MULTIPLICITY OF SOLUTIONS FOR VARIABLE EXPONENT DIRICHLET PROBLEM WITH CONCAVE TERM

作者：Motreanu Viorica Venera^*

来源：Discrete and Continuous Dynamical Systems - Series S, 2012, 5(4): 845-855.

DOI：10.3934/dcdss.2012.5.845

• Dirichlet problem
• p(x)-Laplacian
• multiplicity of solutions
• sub- and supersolutions

We consider a nonlinear Dirichlet boundary value problem involving the p(x)-Laplacian and a concave term. Our main result shows the existence of at least three nontrivial solutions. We use truncation techniques and the method of sub- and supersolutions.

• 出版日期2012-8