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Nonuniformly nonlinear elliptic equations of p-biharmonic type
Authors:Weihua Wang  Peihao Zhao
Institution:a Department of Mathematics, Lanzhou University, Lanzhou, 730000, PR China
b Department of Mathematics, Putian University, Putian, 351100, Fujian, PR China
Abstract:This paper deals with the existence and multiplicity of weak solutions to nonlinear differential equations involving a general p-biharmonic operator (in particular, p-biharmonic operator) under Dirichlet boundary conditions or Navier boundary conditions. Our method is mainly based on variational arguments.
Keywords:p-Biharmonic type operator  Mountain pass theorem  Convexity
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