1.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR819 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR419 papers
- Laboratoire d'Informatique de Paris-NordFR291 papers
- Sorbonne Paris CitéFR283 papers
- Laboratoire de physique des lasersFR235 papers
- Sorbonne UniversitéFR182 papers
- Université Paris CitéFR178 papers
- Laboratoire des Sciences des Procédés et des MatériauxFR111 papers
- Université Paris-SaclayFR59 papers
- Université Paris-SudFR50 papers
- Université Pierre-et-Marie-CurieFR43 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR37 papers
7 papers · 2 filters
A priori estimates and bifurcation of solutions for a noncoercive elliptic equation with critical growth in the gradient
Philippe Souplet
We study nonnegative solutions of the boundary value problem $$-Δu = λc(x)u + μ(x)|\nabla u|^2 + h(x),\quad u\in H^1_0(Ω)\cap L^\infty(Ω), \leqno(P_λ)$$ where is a smooth bound…
Blow-up results for a strongly perturbed semilinear heat equation: Theoretical analysis and numerical method
Van Tien Nguyen, Hatem Zaag
We consider a blow-up solution for a strongly perturbed semilinear heat equation with Sobolev subcritical power nonlinearity. Working in the framework of similarity variables, we f…
Going beyond the threshold: scattering and blow-up in the focusing NLS equation
Thomas Duyckaerts, Svetlana Roudenko
We study the focusing nonlinear Schrödinger equation in the -supercritical regime with finite energy and finite variance initial data. We investigate solutions above the energ…
Improvement of the energy method for strongly non resonant dispersive equations and applications
Luc Molinet, Stéphane Vento
In this paper we propose a new approach to prove the local well-posedness of the Cauchy problem associated with strongly non resonant dispersive equations. As an example we obtain…
Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations
Van Tien Nguyen, Hatem Zaag
We construct a solution for a class of strongly perturbed semilinear heat equations which blows up in finite time with a prescribed blow-up profile. The construction relies on the…
Exponential speed of uniform convergence of the cell density toward equilibrium for subcritical mass in a Patlak-Keller-Segel model
Alexandre Montaru
This paper is concerned with a chemotaxis aggregation model for cells, more precisely with a parabolic-elliptic semilinear Patlak-Keller-Segel system in a ball of fo…
No touchdown at zero points of the permittivity profile for the MEMS problem
Jong-Shenq Guo, Phlippe Souplet
We study the quenching behavior for a semilinear heat equation arising in models of micro-electro mechanical systems (MEMS). The problem involves a source term with a spatially dep…