Existence and multiplicity results for a nonlinear stationary Schrödinger equation
Danila Sandra Moschetto
Annales Polonici Mathematici, Tome 98 (2010), p. 39-43 / Harvested from The Polish Digital Mathematics Library
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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∈ℝN, u∈H¹(ℝN), 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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:280371 
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     title = {Existence and multiplicity results for a nonlinear stationary Schr\"odinger equation},
     journal = {Annales Polonici Mathematici},
     volume = {98},
     year = {2010},
     pages = {39-43},
     zbl = {1205.35099},
     language = {en},
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Danila Sandra Moschetto. Existence and multiplicity results for a nonlinear stationary Schrödinger equation. Annales Polonici Mathematici, Tome 98 (2010) pp. 39-43. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-3/