G. Warnault

activity

20112024

most citedThe Gel'fand problem for the biharmonic operator

48 citations · 83 across the 7 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.AP2015★ 1 cited

Biharmonic equation with singular nonlinearity

J. Giacomoni, S. Prashanth, G. Warnault

We consider the following problem: \begin{eqnarray*} ( P)\qquad \displaystyle\left\{\begin{array} {ll} & Δ^2 u = K(x)u^{-α} \quad \mbox{ in }\,Ω, \\ &u> 0\quad \mbox{ in }\,Ω, \;\;…

math.AP2015

Quasilinear parabolic problem with $p (x)$ -Laplacian: existence, uniqueness of weak solutions and stabilization

Jacques Giacomoni, Sweta Tiwari, Guillaume Warnault

We discuss the existence and uniqueness of the weak solution of the following quasilinear parabolic equation $u_{t} - Δ_{p (x)} u = f (x, u)$ in $(0, T) \times Ω$ ; $u = 0$ on $(0,T)\times\pa…

Biharmonic equation with singular nonlinearity

Quasilinear parabolic problem with p(x)-Laplacian: existence, uniqueness of weak solutions and stabilization

Quasilinear parabolic problem with $p (x)$ -Laplacian: existence, uniqueness of weak solutions and stabilization