Mathematics, Volume 12, Issue 14 (July-2 2024) – 151 articles
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The study of nonlinear Schrödinger–Poisson systems has been a central topic in the field of nonlinear analysis for more than two decades. As most results on nonlinear elliptic boundary value problems demonstrate, to obtain nonzero solutions, conditions close to zero and infinity for nonlinearity are required. Using Liu and Wang's version of Clark's theorem [Ann. I. H. Poincaré – AN 32 (2015) 1015–1037], by truncating the term in the variational functional corresponding to the nonlinearity, we obtain infinite solutions of Schrödinger–Poisson systems whose odd nonlinearity is sublinear near zero. Except for subcritical growth, no other technical assumption is assumed for nonlinearity. Similar results for Schrödinger–Kirchhoff equations have also been obtained. View this paper
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