Francesco Petitta | Ricerc@Sapienza

Pubblicazioni

Titolo	Pubblicato in	Anno
Finite energy solutions for nonlinear elliptic equations with competing gradient, singular and L^1 terms	JOURNAL OF DIFFERENTIAL EQUATIONS	2024
The role of absorption terms in Dirichlet problems for the prescribed mean curvature equation	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS	2024
Bounded solutions for non-parametric mean curvature problems with nonlinear terms	JOURNAL OF GEOMETRIC ANALYSIS	2024
Existence, non-existence and degeneracy of limit solutions to $p-$Laplace problems involving Hardy potentials as $p\to1^+$	SIAM JOURNAL ON MATHEMATICAL ANALYSIS	2024
The Dirichlet problem for the $1$-Laplacian with a general singular term and $L^1$-data	NONLINEARITY	2021
1-Laplacian type problems with strongly singular nonlinearities and gradient terms	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS	2021
Nonlinear diffusion in transparent media	INTERNATIONAL MATHEMATICS RESEARCH NOTICES	2021
A nonlinear parabolic problem with singular terms and nonregular data	NONLINEAR ANALYSIS	2020
The Dirichlet problem for singular elliptic equations with general nonlinearities	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS	2019
Elliptic partial differential equations of second order (book review)	SIAM REVIEW	2019
Finite and Infinite energy solutions of singular elliptic problems: existence and uniqueness	JOURNAL OF DIFFERENTIAL EQUATIONS	2018
Nonlinear diffusion in transparent media: the resolvent equation	ADVANCES IN CALCULUS OF VARIATIONS	2018
Optimal waiting time bounds for some flux-saturated diffusion equations	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS	2017
On a singular elliptic equation with a general measure source	ESAIM. COCV	2016
A Lazer-Mckenna type problem with measures	DIFFERENTIAL AND INTEGRAL EQUATIONS	2016
Existence of solutions for degenerate parabolic equations with singular terms	NONLINEAR ANALYSIS	2016
Some remarks on the duality method for integro-differential equations with measure data	ADVANCED NONLINEAR STUDIES	2016
On the notion of renormalized solution to nonlinear parabolic equations with general measure data	JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS	2015
Large solutions for the elliptic 1-Laplacian with absorption	JOURNAL D'ANALYSE MATHEMATIQUE	2015

ERC

PE1_8
PE1_11

Keywords

PARTIAL DIFFERENTIAL EQUATIONS

elliptic partial differential equations

functional analysis

Degenerate elliptic equations

Singular elliptic equations

nonlinear degenerate and singular parabolic equations

nonlinear parabolic equations

nonlinear elliptic equations

Measure data

Progetti di Ricerca

Processi di diffusione degeneri, singolari e frazionari