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

Rodrigo da Silva Rodrigues, Mateus Balbino Guimarães

DOI: http://dx.doi.org/10.12775/TMNA.2016.071


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.


Nonlocal problems; variational methods; critical exponents; Kirchhoff type equations; nonlinear elliptic systems; mountain pass theorem

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