2016
DOI: 10.1515/auom-2016-0004
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Existence results for a class of Kirchhoff type systems with Caffarelli-Kohn-Nirenberg exponents

Abstract: This paper is concerned with the existence of positive solutions for a class of infinite semipositone kirchhoff type systems with singular weights. Our aim is to establish the existence of positive solution for λ large enough. The arguments rely on the method of sub-and super-solutions.

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Cited by 3 publications
(3 citation statements)
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“…A key role in our arguments will be played by the following auxiliary result. Its proof is similar to those presented in [12], the reader can consult further the papers [1,2,3,18].…”
Section: Preliminariessupporting
confidence: 53%
See 1 more Smart Citation
“…A key role in our arguments will be played by the following auxiliary result. Its proof is similar to those presented in [12], the reader can consult further the papers [1,2,3,18].…”
Section: Preliminariessupporting
confidence: 53%
“…So, the study of positive solutions of elliptic systems has more practical meanings. We refer to [1,2,3,4,5,6,8,17] for additional results on elliptic problems. We are inspired by the ideas introduced in many papers such as [2,4,13,24], to establish the existence of a positive weak solution for (1.1) by using sub-and supersolutions method.…”
Section: Introductionmentioning
confidence: 99%
“…Meanwhile, the problem about Kirchhoff system has been studied. In [16,17] the Kirchhoff system with boundary value shows several physical and biological systems with u and v describing a process depending on the average of itself, such as population densities. Lv and Peng [18] established the existence of positive vector solutions and positive vector ground state solutions by using variational methods and also studied the asymptotic behavior of these solutions.…”
Section: Introduction and Main Resultsmentioning
confidence: 99%