MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHR(O)DINGER EQUATIONS WITH SATURABLE NONLINEARITY

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In this paper,we construct sign-changing radial solutions for a class of Schr(o)dinger equations with saturable nonlinearity which arises from several models in mathematical physics.More precisely,for any given nonnegative integer k,by using a minimization argument,we first obtain a sign-changing minimizer with k nodes of a constrained minimization problem,and show,by a deformation lemma and Miranda's theorem,that the minimizer is the desired solution.
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