Tbilisi Mathematical Journal

Multiple solutions of critical singular degenerate elliptic system with concave-convex nonlinearities

Chang-Mu Chu and Lin Li

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Abstract

This paper is devoted to study a class of critical singular degenerate elliptic system with concave-convex nonlinearities and sign-changing weight functions. The existence and multiplicity of nontrivial nonnegative solutions are obtained by the variational.

Note

Chang-Mu Chu is supported by Innovation Group Major Program of Guizhou Province (No.KY[2016]029) and National Natural Science Foundation of China (No.11661021). Lin Li is supported by Research Fund of National Natural Science Foundation of China (No. 11601046), Chongqing Science and Technology Commission (No. cstc2016jcyjA0310), Chongqing Municipal Education Commission (No. KJ1600603, KJ1706167) and Program for University Innovation Team of Chongqing (No. CXTDX201601026).

Article information

Source
Tbilisi Math. J., Volume 11, Issue 3 (2018), 157-174.

Dates
Received: 13 February 2018
Accepted: 20 May 2018
First available in Project Euclid: 3 October 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1538532033

Digital Object Identifier
doi:10.32513/tbilisi/1538532033

Mathematical Reviews number (MathSciNet)
MR3954201

Subjects
Primary: 35J20: Variational methods for second-order elliptic equations
Secondary: 35J60: Nonlinear elliptic equations 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)

Keywords
Singular degenerate elliptic system Critical Hardy-Sobolev exponents Concave-convex nonlinearities Sign-changing weight functions Variational methods

Citation

Chu, Chang-Mu; Li, Lin. Multiple solutions of critical singular degenerate elliptic system with concave-convex nonlinearities. Tbilisi Math. J. 11 (2018), no. 3, 157--174. doi:10.32513/tbilisi/1538532033. https://projecteuclid.org/euclid.tbilisi/1538532033


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