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Existence of solution for a Kirchhoff type system with weight and nonlinearity involving a \((p,q)\)-superlinear term and critical Caffarelli-Kohn-Nirenberg growth. (English) Zbl 1370.35015

Summary: We study a \((p,q)\)-Laplacian system of Kirchhoff type equations with weight and nonlinearity involving a \((p,q)\)-superlinear term, in which \(p\) may be different from \(q\), and with critical Caffarelli-Kohn-Nirenberg exponent. Using the Mountain Pass Theorem, we obtain a nontrivial solution to the problem.

MSC:

35A15 Variational methods applied to PDEs
35J60 Nonlinear elliptic equations
35B33 Critical exponents in context of PDEs
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