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math.AP2024
Local and nonlocal critical growth anisotropic quasilinear elliptic systems
Artur Jorge Marinho, Kanishka Perera
In this paper we prove new multiplicity results for a critical growth anisotropic quasilinear elliptic system that is coupled through a subcritical perturbation term. We identify a…
math.AP2024
Existence results for a borderline case of a class of p-Laplacian problems
Anna Maria Candela, Kanishka Perera, Addolorata Salvatore
The aim of this paper is investigating the existence of at least one nontrivial bounded solution of the new asymptotically ``linear'' problem \[ \left\{ \begin{array}{ll} - {\rm di…