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- W2944506793 abstract "We prove the existence results for the Schrodinger equation of the form $$ -Delta u + V(x) u = g(x,u), quad x in mathbb{R}^N, $$ where $g$ is superlinear and subcritical in some periodic set $K$ and linear in $mathbb{R}^N setminus K$ for sufficiently large $|u|$. The periodic potential $V$ is such that $0$ lies in a spectral gap of $-Delta+V$. We find a solution with the energy bounded by a certain min-max level, and infinitely many geometrically distinct solutions provided that $g$ is odd in $u$." @default.
- W2944506793 created "2019-05-16" @default.
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- W2944506793 date "2019-05-11" @default.
- W2944506793 modified "2023-09-27" @default.
- W2944506793 title "Bound states for the Schrödinger equation with mixed-type nonlinearites" @default.
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