Abstract:Abstract. We study here semilinear elliptic indefinite-weight problems defined in R n , n > 3. We show that under some conditions, these problems have exactly one positive solution.
IntroductionThe aim of the present paper is to prove the existence of one positive solution for a semilinear elliptic equation defined in R n , n > 3.In this research we examine the equation considered in the variational formwhere the potential q is positive and the weight function g changes sign in R n . The nonlinearity / : R n x… Show more
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