Non-differentiable functionals and applications to elliptic problems with discontinuous
nonlinearities Page 1 J. Differential Equations 244 (2008) 3031–3059 www.elsevier.com/locate/jde …

In this paper the following result is proved: Let X be a reflexive real Banach space; I⊆ R an
interval; Φ: X→ R a sequentially weakly lower semicontinuous C1 functional, bounded on …

In this paper, we establish the existence of two nontrivial weak solutions of possibly
degenerate nonlinear eigenvalue problems involving the p-polyharmonic Kirchhoff operator …

In this paper, we introduce fractional calculus into image inpainting and propose a new class
of fractional-order variational image inpainting models, in both space and wavelet domains …

The paper deals with the existence of multiple solutions for a boundary value problem driven
by the magnetic fractional Laplacian (− Δ) A s, that is (− Δ) A su= λ f (| u|) u in Ω, u= 0 in R n∖ …

The variable exponent spaces are essential in the study of certain nonhomogeneous
materials. In the framework of these spaces, we are concerned with a nonlinear elliptic …

Three solutions for a Navier boundary value problem involving the p-biharmonic - ScienceDirect
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In this paper, exploiting variational methods, the existence of three weak solutions for a class
of elliptic equations involving a general operator in divergence form and with Dirichlet …

In this paper we establish the existence of two nontrivial weak solutions of some eigenvalue
problems, involving a general elliptic operator in divergence form. First we study a one …

We consider nonlinear Neumann problems driven by p-Laplacian-type operators which are
not homogeneous in general. We prove an existence and a multiplicity result for such …