16 citations · 33 across the 9 of their papers we have counts for
9 papers · 1 filter
Characterization of positive superharmonic functions in a half-space
Lorenzo D'Ambrosio, Enzo Mitidieri
We prove a representation formula for superharmonic functions on the half-space . As a consequence, we derive some comparison p…
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…
Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range II. Higher-order diffusion
V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev
Two families of sign-changing solutions of higher-order semilinear parabolic equations are studied.
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…
Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II
V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev
Some higher-order quasilinear parabolic, hyperbolic, and nonlinear dispersion equations are shown to admit various blow-up, extinction, and travelling wave solutions, which reduce…
Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II
Yuri Bozhkov, Enzo Mitidieri
We propose a general Noetherian approach to Rellich integral identities. Using this method we obtain a higher order Rellich type identity involving the polyharmonic operator on Rie…