7 papers
Weighted Robin eigenvalue problems and nonlinear elliptic equations with general growth in the gradient
Francesco Della Pietra, Giuseppina di Blasio, Giuseppe Riey
We prove an existence result for Robin boundary value problems modeled on \[ \begin{cases} Δu + |\nabla u|^2 + λf(x) = 0 & \text{in } Ω \\ \frac{\partial u}{\partial ν} + βu = 0 &…
Anisotropic Improved Leray-Trudinger Inequality
Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis
We establish a Leray- Trudinger Type inequality in the anisotropic setting induced by a strongly convex Finsler norm F. The result generalizes classical exponential integrability i…
Existence and regularity results for a class of non-uniformly elliptic Robin problems
Francesco Della Pietra, Giuseppina di Blasio, Teresa Radice
In this paper, we study the existence and the summability of solutions to a Robin boundary value problem whose prototype is the following: $$ \begin{cases} -\text{div}(b(|u|)\nabla…
The optimal Leray-Trudinger inequality
Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis
We fill the gap left open in \cite{MT}, regarding the minimum exponent on the logarithmic correction weight so that the Leray-Trudinger inequality (see \cite{PsSp}) holds. Instead…
Two inequalities for the first Robin eigenvalue of the Finsler Laplacian
Giuseppina Di Blasio, Nunzia Gavitone
Let Ωbe a bounded connected, open set of \R^n with Lipschitz boundary. Let F be a suitable norm in \R^n and let Δ_F u be the so-colled Finsler Laplacian. In this paper we prove two…
Eigenvalues of the Finsler -Laplacian on varying domains
Giuseppina di Blasio, Pier Domenico Lamberti
We study the dependence of the first eigenvalue of the Finsler -Laplacian and the corresponding eigenfunctions upon perturbation of the domain and we generalize a few results kn…
Blow-up solutions for some nonlinear elliptic equations involving a Finsler-Laplacian
Francesco Della Pietra, Giuseppina di Blasio
In this paper we prove existence results and asymptotic behavior for strong solutions of the nonlinear elliptic problem \begin{equation} \tag{P} \l…