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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…
Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular convection term
Giuseppina di Blasio, Filomena Feo, Gabriella Zecca
We prove the existence and uniqueness of weak solutions to a class of anisotropic elliptic equations with coefficients of convection term belonging to some suitable Marcinkiewicz s…
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…
Optimal Szegö-Weinberger type inequalities
F. Brock, F. Chiacchio, G. di Blasio
Denote with the first nontrivial eigenvalue of the Neumann problem \begin{equation*} \left\{\begin{array}{lll} -\text{div}\left(e^{h\left(|x|\right…