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19922026
most citedThe Large Area Telescope on the Fermi Gamma-ray Space Telescope Mission

4.1k citations

Showing 2012 · math.APShow all

8 papers · 2 filters

math.AP2012★ 1 cited

Uniqueness of σ-regular solutions of quasilinear elliptic problems

Lorenzo D'Ambrosio, Enzo Mitidieri

We study the uniqueness problem of -regular solution of the equation, $$-Δ_p u+ \abs u^{q-1}u =h \quad on\quad \RN, $$ where and Other coercive type equations…

math.AP2012★ 152 cited

Semi-linear structural damped waves

Marcello D'Abbicco, Michael Reissig

We study the global existence of small data solutions for Cauchy problem for the semi-linear structural damped wave equation with source term.

math.AP2012★ 90 cited

Semi-linear wave equations with effective damping

Marcello D'Abbicco, Sandra Lucente, Michael Reissig

We study the Cauchy problem for the semi-linear damped wave equation in any space dimension. We assume that the time-dependent damping term is effective. We prove the global existe…

math.AP2012★ 14 cited

A new critical curve for a class of quasilinear elliptic systems

Lorenzo D'Ambrosio

We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given b…

math.AP2012★ 43 cited

Variational and Semigroup Methods for Waves and Diffusion in Networks

Marjeta Kramar Fijavz, Delio Mugnolo, and Eszter Sikolya

We study diffusion and wave equations in networks. Combining semigroup and variational methods we obtain well-posedness and many nice properties of the solutions in general L^p -co…

math.AP2012

Entire solutions of quasilinear elliptic systems on Carnot Groups

Lorenzo D'Ambrosio, Enzo Mitidieri

We prove general a priori estimates of solutions of a class of quasilinear elliptic system on Carnot groups. As a consequence, we obtain several non existence theorems. The results…

math.AP2012★ 18 cited

Analytic solutions and Singularity formation for the Peakon b--Family equations

Giuseppe Maria Coclite, Francesco Gargano, Vincenzo Sciacca

Using the Abstract Cauchy-Kowalewski Theorem we prove that the -family equation admits, locally in time, a unique analytic solution. Moreover, if the initial data is real analyt…

math.AP2012

Perturbed asymptotically linear problems

R. Bartolo, A. M. Candela, A. Salvatore

The aim of this paper is investigating the existence of solutions of some semilinear elliptic problems on open bounded domains when the nonlinearity is subcritical and asymptotical…