Multiple solutions for problems involving \(p(x)\)-Laplacian and \(p(x)\)-biharmonic operators

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

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Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
Existence of nontrivial solutions for a biharmonic equation with \(p\)-Laplacian and singular sign-changing potential
Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
Electrorheological fluids: modeling and mathematical theory
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
On a \(p(x)\)-biharmonic problem with singular weights
Existence of positive ground solutions for biharmonic equations via Pohožaev-Nehari manifold
\(p(x)\)-biharmonic operator involving the \(p(x)\)-Hardy inequality
Dual variational methods in critical point theory and applications
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator
Variable Exponent, Linear Growth Functionals in Image Restoration
On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function
Low perturbations of p-biharmonic equations with competing nonlinearities
On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
Existence and multiplicity of solutions for some Steklov problem involving (p₁(x), p₂(x))-Laplacian operator
Nehari manifold for singular fractionalp(x,.)-Laplacian problem
Eigencurves of the \(p (\cdot)\)-biharmonic operator with a Hardy-type term
Infinitely many solutions for problems involving -Laplacian and -biharmonic operators

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