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- W1838289315 abstract "This paper shows that the nonlinear periodic eigenvalue problem $${cases} -Delta u + V(x) u - f(x,u) = lambda u, u in H^1(IR^N), {cases}$$ has a nontrivial branch of solutions emanating from the upper bound of every spectral gap of $-Delta + V$. No convexity condition is assumed. The following result of independent interest is also proven: the sum $Y oplus Z$ in $H^1(IR^N)$ associated to a decomposition of the spectrum of $-Delta+V$ remains topologically direct in the $L^p$'s (in the sense that the projections from $Y+Z$ onto $Y$ and $Z$ are $L^p$-continuous)." @default.
- W1838289315 created "2016-06-24" @default.
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- W1838289315 date "2012-07-04" @default.
- W1838289315 modified "2023-09-27" @default.
- W1838289315 title "Bifurcation into spectral gaps for a noncompact semilinear Schrodinger equation with nonconvex potential" @default.
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