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20122026
most citedBifurcation into spectral gaps for a noncompact semilinear Schrödinger equation with nonconvex potential

7 citations · 13 across the 12 of their papers we have counts for

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math.AP2012★ 7 cited

Bifurcation into spectral gaps for a noncompact semilinear Schrödinger equation with nonconvex potential

Christophe Troestler

This paper shows that the nonlinear periodic eigenvalue problem $${cases} -Δu + V(x) u - f(x,u) = λu, u \in H^1(\IR^N), {cases}$$ has a nontrivial branch of solutions emanating fro…

math.NA2012

On the Mountain-pass algorithm for the quasi-linear Schrodinger equation

Christopher Grumiau, Marco Squassina, Christophe Troestler

We discuss the application of the Mountain Pass algorithm to the so-called quasi-linear Schrodinger equation, which is naturally associated with a class of nonsmooth functionals so…