L. Esposito

activity

20102021

most citedThe longest shortest fence and sharp Poincaré-Sobolev inequalities

6 citations · 9 across the 4 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AP2019★ 3 cited

On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded

Luca Esposito, Prosenjit Roy, Firoj Sk

We analyze the asymptotic behavior of the eigenvalues of nonlinear elliptic problems under Dirichlet boundary conditions and mixed (Dirichlet, Neumann) boundary conditions on domai…

math.AP2014

The Neumann eigenvalue problem for the $\infty$ -Laplacian

L. Esposito, B. Kawohl, C. Nitsch +1

The first nontrivial eigenfunction of the Neumann eigenvalue problem for the $p$ -Laplacian, suitable normalized, converges as $p$ goes to $\infty$ to a viscosity solution of an eig…

math.AP2011

Best constants in Poincaré inequalities for convex domains

L. Esposito, C. Nitsch, C. Trombetti

We prove a Payne-Weinberger type inequality for the $p$ -Laplacian Neumann eigenvalues ( $p \geq 2$ ). The inequality provides the sharp upper bound on convex domains, in terms of the d…

On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded

The Neumann eigenvalue problem for the ∞-Laplacian

Best constants in Poincaré inequalities for convex domains

The Neumann eigenvalue problem for the $\infty$ -Laplacian