2 citations · 3 across the 8 of their papers we have counts for
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Local and global properties of solutions of an elliptic equation involving exponential and gradient reaction
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron
We study some local and global properties of solutions of $-Δu- m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain , or in an exterior domain of , , wh…
A dynamical system approach to the Chandrasekhar-Hamilton-Jacobi equation
Marie-Françoise Bidaut-Véron, Laurent Véron
We study the local properties of positive solutions of the equation -Delta u= exp(u) in a punctured domain Omega of RN in the range of parameters q > 1 and M > 0. We prove a series…
Singularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation
Marie-Françoise Bidaut-Véron, Laurent Véron
We study the local properties of positive solutions of the equation $-Δu+ m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain of , , where is a pos…
Elliptic Hamilton-Jacobi systems and Lane-Emden Hardy-H{é}non equations
Marie-Françoise Bidaut-Véron, Marta Garcia Huidobro
Here we study the solutions of any sign of the system --u 1 = |u 2 | p , --u 2 = |u 1 | q , in a domain of R N , N 3 and p, q > 0, pq > 1.. We show their rela…
Singular solutions of some elliptic equations involving mixed absorption-reaction
Marie-Françoise Bidaut-Véron, Marta Garcia Huidobro, Laurent Véron
We study properties of nonnegative functions satisfying (E) is a domain of when , and . We concentrate our analysis on t…
Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data
Marie-Françoise Bidaut-Véron, Quoc-Hung Nguyen, Laurent Veron
We study the equation --div(A(x, u)) = g(x, u, u) + where is a measure and either g(x, u, u) |u| q 1 u||u| q 2 or g(x, u, u) |u| s 1 u + ||u| s 2. We give suf…
Quasilinear Lane-Emden equations with absorption and measure data
Marie-Françoise Bidaut-Véron, Hung Nguyen Quoc, Laurent Veron
We study the existence of solutions to the equation $-\Gd_pu+g(x,u)=μ$ when is a nondecreasing function and $\gm$ a measure. We characterize the good measures, i.e. the on…
Remarks on some quasilinear equations with gradient terms and measure data
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron
Let be a smooth bounded domain, a Caratheodory function defined in and a bounded Radon measure in We study…
Large solutions of elliptic systems of second order and applications to the biharmonic equation
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Cecilia Yarur
In this work we study the nonnegative solutions of the elliptic system Δu=|x|^{a}v^δ, Δv=|x|^{b}u^μ in the superlinear case μδ>1, which blow up near the boundary of a domain of R^{…
Self-similar solutions of the p-Laplace heat equation: the case when p>2
Marie-Françoise Bidaut-Véron
We study the self-similar solutions of the equation \[ u_{t}-div(| \nabla u| ^{p-2}\nabla u)=0, \] in when We make a complete study of the existence and po…
On the connection between two quasilinear elliptic problems with source terms of order 0 or 1
Haydar Abdel Hamid, Marie-Françoise Bidaut-Véron
We establish a precise connection between two elliptic quasilinear problems with Dirichlet data in a bounded domain of The first one, of the form \[ -Δ_{p}u=β(u)|…
Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient
Haydar Abdelhamid, Marie-Françoise Bidaut-Véron
Thanks to a change of unknown we compare two elliptic quasilinear problems with Dirichlet data in a bounded domain of The first one, of the form $-Δ_{p}u=β(u)| \n…