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math.AP2013
Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
David Arcoya, Colette De Coster, Louis Jeanjean +1
In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad…
math.AP2013★ 2 cited
Continuum of solutions for an elliptic problem with critical growth in the gradient
David Arcoya, Colette De Coster, Louis Jeanjean +1
We consider the boundary value problem \begin{equation*} - Δu = λc(x)u+ μ(x) |\nabla u|^2 + h(x), \quad u \in H^1_0(Ω) \cap L^{\infty}(Ω) \eqno{(P_λ)} \end{equation*} where $Ω\subs…