In this paper, using a recent critical point theorem of Ricceri, we establish two multiplicity results for the Schrodinger equation of the form $$-\Delta u + a(x)u=\lambda f(x,u)+\mu g(x,u), \quad x \in \R^n, \; u \in W^{1,2}(\R^n)$$ where $f , \,g:\R^n \times \R \to \R$ are Caratheodory functions, $\lambda$ and $\mu$ two positive parameters.
Multiplicity results for a perturbed nonlinear Schrodinger equation
CAMMAROTO, Filippo;CHINNI', Antonia;DI BELLA, Beatrice
2007-01-01
Abstract
In this paper, using a recent critical point theorem of Ricceri, we establish two multiplicity results for the Schrodinger equation of the form $$-\Delta u + a(x)u=\lambda f(x,u)+\mu g(x,u), \quad x \in \R^n, \; u \in W^{1,2}(\R^n)$$ where $f , \,g:\R^n \times \R \to \R$ are Caratheodory functions, $\lambda$ and $\mu$ two positive parameters.File in questo prodotto:
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