Kirchhoff type p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions
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Bibliographic record
Abstract
In this paper, we investigate fourth order variable exponent Kirchhoff type p(x)-biharmonic equations involving constant exponent and variable exponent Hardy potentials, in which the r(x)-Hardy potentials are seldom mentioned in previous results.We show the existence of at least one or two distinct generalized solutions via variational methods and the theory of variable exponent Sobolev spaces when the Kirchhoff function and the nonlinear term satisfy appropriate assumptions.
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