Sequences of weak solutions for a Navier problem driven by the p(x)-biharmonic operator
Sequences of weak solutions for a Navier problem driven by the p(x)-biharmonic operator
Summary: We derive the existence of infinitely many solutions for an elliptic problem involving both the \(p(x)\)-biharmonic and the \(p(x)\)-Laplacian operators under Navier boundary conditions. Our approach is of variational nature and does not require any symmetry of the nonlinearities. Instead, a crucial role is played by suitable test functions in some variable exponent Sobolev space, of which we provide the abstract structure better suited to the framework.
- University of Messina Italy
Variational methods for higher-order elliptic equations, Boundary value problems for higher-order elliptic equations, \(p(x)\)-Laplacian operator, Navier problem, Multiplicity; Navier problem; P(x)-biharmonic operator; P(x)-Laplacian operator, \(p(x)\)-biharmonic operator
Variational methods for higher-order elliptic equations, Boundary value problems for higher-order elliptic equations, \(p(x)\)-Laplacian operator, Navier problem, Multiplicity; Navier problem; P(x)-biharmonic operator; P(x)-Laplacian operator, \(p(x)\)-biharmonic operator
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