Under coupled subcritical growth assumptions, the paper claims a nontrivial solution exists for a non-cooperative (p,q)-Laplacian Dirichlet system, that all solutions are bounded in L∞, and that a positive solution exists under extra conditions.
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Existence, positivity and boundedness of solutions for systems of quasilinear elliptic equations
Under coupled subcritical growth assumptions, the paper claims a nontrivial solution exists for a non-cooperative (p,q)-Laplacian Dirichlet system, that all solutions are bounded in L∞, and that a positive solution exists under extra conditions.