Zobrazeno 1 - 10
of 246
pro vyhledávání: '"Souplet, Philippe"'
Autor:
Li, Yimei, Souplet, Philippe
We prove that the Dirichlet problem for the Lane-Emden system in a half-space has no positive classical solution that is bounded on finite strips. Such a nonexistence result was previously available only for bounded solutions or under a restriction o
Externí odkaz:
http://arxiv.org/abs/2408.17007
Autor:
Quittner, Pavol, Souplet, Philippe
We give applications of known and new Liouville type theorems to universal singularity and decay estimates for non scale invariant elliptic problems, including Lane-Emden and Schr\"odinger type systems. This applies to various classes of nonlineariti
Externí odkaz:
http://arxiv.org/abs/2407.04154
Autor:
Chabi, Loth Damagui, Souplet, Philippe
We consider the semilinear heat equation $$u_t-\Delta u=f(u) $$ for a large class of non scale invariant nonlinearities of the form $f(u)=u^pL(u)$, where $p>1$ is Sobolev subcritical and $L$ is a slowly varying function (which includes for instance l
Externí odkaz:
http://arxiv.org/abs/2404.11863
Autor:
Milisic, Vuk, Souplet, Philippe
In this paper we consider a fourth order nonlinear parabolic delayed problem modelling a quasi-instantaneous turn-over of linkages in the context of cell-motility. The model depends on a small parameter $\epsilon$ which represents a typical time scal
Externí odkaz:
http://arxiv.org/abs/2401.01139
Autor:
Meunier, Nicolas, Souplet, Philippe
We consider a model of chemotaxis with boundary signal production which describes some aspects of eukaryotic cell migration. Generic polarity markers located in the cell are transported by actin which they help to polymerize. This leads to a problem
Externí odkaz:
http://arxiv.org/abs/2303.08654
Autor:
Souplet, Philippe
We revisit rescaling methods for nonlinear elliptic and parabolic problems and show that, by suitable modifications, they may be used for nonlinearities that are not scale invariant even asymptotically and whose behavior can be quite far from power l
Externí odkaz:
http://arxiv.org/abs/2202.02955
Autor:
Mizoguchi, Noriko, Souplet, Philippe
We study the Cauchy-Dirichlet pbm for superquadratic viscous Hamilton-Jacobi eq. We give a complete classification, namely rates and space-time profiles, in 1d case when viscosity sol. undergo gradient blow-up (GBU) or recovery of boundary condition
Externí odkaz:
http://arxiv.org/abs/2110.12934
Autor:
Souplet, Philippe
We consider radial decreasing solutions of the semilinear heat equation with exponential nonlinearity. We provide a relatively simple proof of the sharp upper estimates for the final blowup profile and for the refined space-time behavior. We actually
Externí odkaz:
http://arxiv.org/abs/2110.08026
Autor:
Sirakov, Boyan, Souplet, Philippe
We develop a new, unified approach to the following two classical questions on elliptic PDE: the strong maximum principle for equations with non-Lipschitz nonlinearities, and the at most exponential decay of solutions in the whole space or exterior d
Externí odkaz:
http://arxiv.org/abs/2010.08511
Autor:
Mizoguchi, Noriko, Souplet, Philippe
The Cauchy-Dirichlet pbm for the superquadratic viscous Hamilton-Jacobi eqn (VHJ), which has important applications in stochastic control theory, admits a unique, global viscosity solution. Sol. thus exist in the weak sense after appearance of singul
Externí odkaz:
http://arxiv.org/abs/2007.12114