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Multiple solutions for some nonlinear Schrödinger equations with indefinite linear part
Authors:Feizhi Wang
Affiliation:Department of Mathematics, Yantai University, Yantai 264005, Shangdong, PR China
Abstract:We consider a class of nonlinear Schrödinger equation with indefinite linear part in RN. We prove that the problem has at least three nontrivial solutions by means of Linking Theorem and (∇)-Theorem.
Keywords:Schrö  dinger equation   Linking Theorem     mmlsi3"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0022247X06010432&  _mathId=si3.gif&  _pii=S0022247X06010432&  _issn=0022247X&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=46dd3bf818e6d946921d2a8fb85b1854')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >(&nabla  )-Theorem   Orthogonalization technique
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