L. Marazzi

activity

20082022

most citedAn Eigenvalue problem for the Infinity-Laplacian

34 citations · 61 across the 12 of their papers we have counts for

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12 papers · 1 filter

math.AP2022

A Strong Minimum principle and Large Time Asymptotics for viscosity solutions to a class of doubly nonlinear possibly degenerate parabolic equations

Tilak Bhattacharya, Leonardo Marazzi

We study a version of the strong minimum principle, and large time asymptotics of positive viscosity solutions to classes of doubly nonlinear parabolic equations of the form $$ H(D…

math.AP2018

A Phragmén-Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations: Bounded Case

Tilak Bhattacharya, Leonardo Marazzi

We study Phragmén-Lindelöf properties for viscosity solutions to a class of nonlinear parabolic equations of the type $H (D u, D^{2} u + Z (u) D u \otimes D u) + χ (t) ∣ D u ∣^{σ} - u_{t} = 0$ under a certai…

math.AP2018

A Phragmén-Lindelöf property of viscosity solutions to a class of nonlinear, possibly degenerate, parabolic equations

Tilak Bhattacharya, Leonardo Marazzi

We study Phragmén-Lindelöf properties of viscosity solutions to a class of doubly nonlinear parabolic equations in $R^{n} \times (0, T)$ . We also include an application to som…

math.AP2016

On the viscosity solutions to a class of nonlinear degenerate parabolic differential equations

Tilak Bhattacharya, Leonardo Marazzi

In this work, we show existence and uniqueness of positive solutions of $H (D u, D^{2} u) + χ (t) ∣ D u ∣^{Γ} - f (u) u_{t} =$ in $Ω \times (0, T)$ and $u = h$ on its parabolic boundary. The operator $H$ s…

math.AP2015★ 4 cited

Asymptotics of viscosity solutions to some doubly nonlinear parabolic equations

Tilak Bhattacharya, Leonardo Marazzi

We study asymptotic decay rates of viscosity solutions to some doubly nonlinear parabolic equations, including Trudinger's equation. We also prove a Phragmén-Lindelöf type result a…

math.AP2015

On the viscosity solutions to some nonlinear elliptic equations

Tilak Bhattacharya, Leonardo Marazzi

We consider viscosity solutions of a class of nonlinear degenerate elliptic equations on bounded domains. We prove comparison principles and a priori supremum bounds for the soluti…

math.AP2015★ 14 cited

On the viscosity solutions to Trudinger's equation

Tilak Bhattacharya, Leonardo Marazzi

We study the existence of positive viscosity solutions to Trudinger's equation for cylindrical domains $Ω \times [0, T)$ , where $Ω \subset R^{n}, n \geq 2,$ is a bounded domain,…

math.AP2013★ 4 cited

On the viscosity solutions to a degenerate parabolic differential equation

Tilak Bhattacharya, Leonardo Marazzi

In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation involving the non-homogeneous infinity-Laplacian.

math.AP2012★ 34 cited

An Eigenvalue problem for the Infinity-Laplacian

Tilak Bhattacharya, Leonardo Marazzi

We study an eigenvalue problem for the infinity-Laplacian on bounded domains. We prove the existence of the principal eigenvalue and a corresponding positive eigenfunction. The wor…

math.AP2011

Absence of Resonances near Critical Line for CC Manifolds

Leonardo Marazzi

We find a resonance free region polynomially close to the critical line on Conformally compact manifolds with polyhomogeneous metric.

math.AP2008★ 1 cited

Asymptotically hyperbolic manifolds with polyhomogeneous metric

Leonardo Marazzi

We analyze the resolvent and define the scattering matrix for asymptotically hyperbolic manifolds with metrics which have a polyhomogeneous expansion near the boundary, and also pr…

math.AP2008★ 4 cited

Inverse scattering on conformally compact manifolds

Leonardo Marazzi

We study inverse scattering for $Δ_{g} + V$ on $(X, g)$ a conformally compact manifold with metric $g,$ with variable sectional curvature $-\alf^2(y)$ at the boundary and $V\in C^\infty…