Existence of solution for p-Laplacian boundary value problems with two singular and subcritical nonlinearities

Abstract

Abstract We consider a boundary value problem for p-Laplacian systems with two singular and subcritical nonlinearities. We obtain one theorem which shows that there exists at least one nontrivial weak solution for these problems under some conditions. We obtain this result by variational method and critical point theory.

Keywords

• Boundary value problems for p-Laplacian systems
• Singular potential
• Variational method
• Critical point theory
• ( P . S . ) c $(\mathit{P.S.})_{c}$ condition