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Critical quasilinear elliptic systems with convex subcritical perturbations

Gloss, Elisandra et al.
arXiv (All) · Papers
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analysis-of-pdes
We study a class of Dirichlet problems for coupled quasilinear elliptic systems driven by the $p$--Laplacian in a bounded domain, where the nonlinear terms split into a critical homogeneous part and a convex subcritical perturbation. Using variational methods, a nonlinear eigenvalue theory based on
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