2002
DOI: 10.1007/s005260100104
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Four versus two solutions of semilinear elliptic boundary value problems

Abstract: This paper concerns the existence of four (or six) solutions of semilinear elliptic boundary value problems provided that two disorderly solutions are known. The results are obtained under very generic conditions. Mathematics Subject Classification (1991): 35J20, 35J25, 35J60, 35J65, 35J70

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Cited by 9 publications
(2 citation statements)
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“…For example, it usually permits more flexible requirements on the growth condition of f and can also give some order properties of the solutions. For the applications of the sub-supersolution method to the semilinear and quasilinear elliptic problems, we refer to [3,4,[6][7][8][9][10]12,21,22,26,29] and the references therein. The goal of this paper is to study the subsupersolution method for (1.1), which is a new research topic.…”
Section: Consider the P(x)-laplacian Dirichlet Problemmentioning
confidence: 99%
“…For example, it usually permits more flexible requirements on the growth condition of f and can also give some order properties of the solutions. For the applications of the sub-supersolution method to the semilinear and quasilinear elliptic problems, we refer to [3,4,[6][7][8][9][10]12,21,22,26,29] and the references therein. The goal of this paper is to study the subsupersolution method for (1.1), which is a new research topic.…”
Section: Consider the P(x)-laplacian Dirichlet Problemmentioning
confidence: 99%
“…With the help of invariant sets in C 1 0 (Ω), sign-changing solutions were obtained in Refs. [11,31,33,[37][38][39][40][45][46][47]56] for semilinear elliptic equations on a bounded domain, in Refs. [41,44] for semilinear elliptic eigenvalue problems with constraints on a bounded domain, in Refs.…”
Section: Introductionmentioning
confidence: 99%