We focus on three different convexity principles for local and nonlocal variational integrals.
We prove various generalizations of them, as well as their equivalences. Some applications …

The main result of this work is a new extension of the well-known inequality by Díaz and Saa
which, in our case, involves an anisotropic operator, such as the p (x)-Laplacian,. Our …

We classify the non-negative critical points in W 0 1, p (Ω) of J (v)=∫ Ω H (D v)− F (x, v) dx,
where H is convex and positively p-homogeneous, while t↦∂ t F (x, t)/tp− 1 is non …

This work surveys analytical methods and results for nonlinear spectral problems for
degenerate elliptic operators of the following type: J′ λ (u)= 0, which is the Euler equation …

We investigate the existence of a weak solution u∈W^1,p_0(Ω) to the degenerate quasi-
linear Dirichlet boundary value problem (P)− Δpu= λ1| u| p− 2u+ f (x) in Ω; u= 0 on∂ Ω. It is …

We prove a comparison principle for positive supersolutions and subsolutions to the Lane–
Emden equation for the p-Laplacian, with subhomogeneous power in the right-hand side …

In this paper, we use bifurcation method to investigate the existence and multiplicity of one-
sign solutions of the $ p $-Laplacian involving a linear/superlinear nonlinearity with zeros …

We study the Stekloff eigenvalue problem for the so-called pseudo p-Laplacian operator.
After proving the existence of an unbounded sequence of eigenvalues, we focus on the first …

This work is concerned with the existence and multiplicity of weak solutions uϵW^1,p_0(Ω)
to the quasilinear elliptic problem (P)\qquad-Δ_pu=λ|u|^p-2u+f(x)\qquadinΩ;\u=0\qquad …

We are concerned with a class of second order quasilinear elliptic equations driven by a
nonhomogeneous differential operator introduced by CA Stuart [22] and whose study is …