Abstract For 1< p<∞, we prove radial symmetry for bounded nonnegative solutions of-div w
(x) H (∇ u) p-1∇ ξ H (∇ u)= f (u) w (x) in Σ∩ Ω, u= 0 on Γ 0,⟨∇ ξ H (∇ u), ν⟩= 0 on Γ 1\0 …

In this paper we prove a sharp upper bound for the first Dirichlet eigenvalue of a class of
nonlinear elliptic operators which includes the operator, that is the p‐Laplacian, and, namely …

We consider the elliptic and parabolic superquadratic diffusive Hamilton–Jacobi equations:
Δ u+|∇ u| p= 0 and ut= Δ u+|∇ u| p, with p> 2 and homogeneous Dirichlet conditions. For …

We prove existence of nonnegative solutions of a Dirichlet problem on a bounded smooth
domain of RN for a p-Laplacian elliptic equation with a convection term. Our proof is based …

In this paper we study optimal estimates for two functionals involving the anisotropic p-
torsional rigidity T p (Ω), 1< p<+∞. More precisely, we study Φ (Ω)= T p (Ω)| Ω| M (Ω) and Ψ …

In this paper, we study optimal lower and upper bounds for functionals involving the first
Dirichlet eigenvalue λ F⁢(p, Ω) of the anisotropic p-Laplacian, 1< p<+∞. Our aim is to …

This article concerns the inverse problem of retrieving a stationary potential for the
Schrödinger evolution equation in a bounded domain of ℝ N with Dirichlet data and …

We prove sharp homogeneous improvements to L 1 weighted Hardy inequalities involving
distance from the boundary. In the case of a smooth domain, we obtain lower and upper …

In this paper we study the main properties of the first eigenvalue λ 1 (Ω) and its
eigenfunctions of a class of highly nonlinear elliptic operators in a bounded Lipschitz …

Let Ω be a bounded open set of R n, n≥ 2. In this paper we mainly study some properties of
the second Dirichlet eigenvalue λ 2 (p, Ω) of the anisotropic p-Laplacian− Q pu:=− div (F p …