Zobrazeno 1 - 10
of 721
pro vyhledávání: '"Souplet, A"'
Autor:
Sirakov, Boyan, Souplet, Philippe
We revisit the classical theory of linear second-order uniformly elliptic equations in divergence form whose solutions have H\"older continuous gradients, and prove versions of the generalized maximum principle, the $C^{1,\alpha}$-estimate, the Hopf-
Externí odkaz:
http://arxiv.org/abs/2411.19367
Autor:
Quittner, Pavol, Souplet, Philippe
We establish Liouville type theorems in the whole space and in a half-space for parabolic problems without scale invariance. To this end, we employ two methods, respectively based on the corresponding elliptic Liouville type theorems and energy estim
Externí odkaz:
http://arxiv.org/abs/2409.20049
We investigate the diffusive Hamilton-Jacobi equation $$u_t-\Lap u = |\nabla u|^p$$ with $p>1$, in a smooth bounded domain of $\RN$ with homogeneous Neumann boundary conditions and $W^{1,\infty}$ initial data. We show that all solutions exist globall
Externí odkaz:
http://arxiv.org/abs/2409.07338
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