Sequences of Weak Solutions for a Navier Problem Driven by the p(x)-Biharmonic Operator
Keywords:
p(x)-biharmonic operator, p(x)-Laplacian operator, Navier problem, multiplicityAbstract
We derive the existence of infinitely many solutions for an elliptic problem involving both the px-biharmonic and the px-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.
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