Abstract
This paper is devoted to the study of a class of Kirchhoff type problems with critical exponent, concave nonlinearity, and sign-changing weight functions. By means of variational methods, the multiplicity of the positive solutions to this problem is obtained.
Highlights
1 Introduction and main results This paper is concerned with the existence and multiplicity of positive solutions for the following problem:
The positive solutions of such a problem are obtained by using variational methods [ – ]
About the critical growth situation, the aforementioned papers only showed the existence of positive solutions of the Kirchhoff type problem
Summary
1 Introduction and main results This paper is concerned with the existence and multiplicity of positive solutions for the following problem: The positive solutions of such a problem are obtained by using variational methods [ – ]. When h(x, u) is a continuous superlinear nonlinearity with critical growth, the existence of positive solutions of the Kirchhoff type problem has been studied [ – ].
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