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Lei, Chun-Yu; Liu, Gao-Sheng; Guo, Liu-Tao

Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity. (English) Zbl 1339.35102

Nonlinear Anal., Real World Appl. 31, 343-355 (2016).
Summary: In this paper, we study the multiplicity results of positive solutions for a Kirchhoff type problem with critical growth, with the help of the concentration compactness principle, and we prove that problem admits two positive solutions, and one of the solutions is a positive ground state solution.

Cited in 47 Documents

MSC:

35J15 Second-order elliptic equations
35B09 Positive solutions to PDEs
35B33 Critical exponents in context of PDEs

Keywords:

Kirchhoff type equation; critical exponents; concave-convex; concentration compactness principle
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References:

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