Existence and multiplicity results for a nonlinear stationary Schrödinger equation

• Autorzy: Danila Sandra Moschetto
• Języki publikacji: EN

Abstrakty

EN

We revisit Kristály's result on the existence of weak solutions of the Schrödinger equation of the form
-Δu + a(x)u = λb(x)f(u), $x ∈ ℝ^N$, $u ∈ H¹(ℝ^N)$,
where λ is a positive parameter, a and b are positive functions, while $f:ℝ → ℝ$ is sublinear at infinity and superlinear at the origin. In particular, by using Ricceri's recent three critical points theorem, we show that, under the same hypotheses, a much more precise conclusion can be obtained.

Kategorie tematyczne

• 35J61: Semilinear elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 1
• Strony: 39-43

Daty

wydano

2010

Twórcy

autor

Danila Sandra Moschetto

• Department of Mathematics and Computer Science, University of Catania, Viale A. Doria, 6, 95125 Catania, Italy

Identyfikatory

DOI

10.4064/ap99-1-3