Zobrazeno 1 - 10
of 216
pro vyhledávání: '"Mugnai Dimitri"'
We consider a degenerate/singular wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary dampin
Externí odkaz:
http://arxiv.org/abs/2403.17802
We study the null controllability for a degenerate/singular wave equation with drift in non divergence form. In particular, considering a control localized on the non degenerate boundary point, we provide some conditions for the boundary controllabil
Externí odkaz:
http://arxiv.org/abs/2402.18247
We prove the existence and multiplicity of weak solutions for a mixed local-nonlocal problem at resonance. In particular, we consider a not necessarily positive operator which appears in models describing the propagation of flames. A careful adaptati
Externí odkaz:
http://arxiv.org/abs/2305.02624
Autor:
Fragnelli, Genni, Mugnai, Dimitri
We consider a degenerate wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the
Externí odkaz:
http://arxiv.org/abs/2212.05264
Publikováno v:
Fract Calc Appl Anal 26(3), 943-961 (2023)
We prove the existence of a weak solution for boundary value problems driven by a mixed local--nonlocal operator. The main novelty is that such an operator is allowed to be nonpositive definite.
Externí odkaz:
http://arxiv.org/abs/2207.14008
Autor:
Iannizzotto, Antonio, Mugnai, Dimitri
We study a nonlinear, nonlocal Dirichlet problem driven by the fractional p-Laplacian, involving a (p-1)-sublinear reaction. By means of a weak comparison principle we prove uniqueness of the solution. Also, comparing the problem to 'asymptotic' weig
Externí odkaz:
http://arxiv.org/abs/2206.08685
We consider a degenerate wave equation with drift in presence of a leading operator which is not in divergence form. We provide some conditions for the boundary controllability of the associated Cauchy problem.
Comment: 25 pages
Comment: 25 pages
Externí odkaz:
http://arxiv.org/abs/2109.12531
In this paper we provide necessary and sufficient conditions for the existence of a unique positive weak solution for some sublinear Dirichlet problems driven by the sum of a quasilinear local and a nonlocal operator, i.e., $$\mathcal{L}_{p,s} = -\De
Externí odkaz:
http://arxiv.org/abs/2103.11382
We consider nonlinear problems governed by the fractional $p-$Laplacian in presence of nonlocal Neumann boundary conditions. We face two problems. First: the $p-$superlinear term may not satisfy the Ambrosetti-Rabinowitz condition. Second, and more i
Externí odkaz:
http://arxiv.org/abs/2002.04273
Publikováno v:
Minimax Theory Appl. 6 (2021), 239-250
We show the existence of nontrivial solutions for a class of highly quasilinear problems in which the governing operators depend on the unknown function. By using a suitable variational setting and a weak version of the Cerami-Palais-Smale condition,
Externí odkaz:
http://arxiv.org/abs/1911.03910