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most citedMultiple bounded variation solutions for a prescribed mean curvature equation with Neumann boundary conditions

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math.AP2015

Multiplicity results in the non-coercive case for an elliptic problem with critical growth in the gradient

Colette De Coster, Louis Jeanjean

We consider the boundary value problem \begin{equation} - Δu = λc(x)u+ μ(x) |\nabla u|^2 + h(x), \qquad u \in H^1_0(Ω) \cap L^{\infty}(Ω), \leqno{(P_λ)} \end{equation} where $Ω\sub…