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تسجيل مستخدم جديدPositive Liouville theorem and asymptotic behaviour for $(p,A)$-Laplacian type elliptic equations with Fuchsian potentials in Morrey space
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We study Liouville-type theorems and the asymptotic behaviour of positive solutions near an isolated singular point $zetainpartialOmegacup{infty}$ of the quasilinear elliptic equations $$-text{div}(| abla u|_A^{p-2}A abla u)+V|u|^{p-2}u =0quadtext{in } Omegasetminus{zeta},$$ where $Omega$ is a domain in $mathbb{R}^d$ ($dgeq 2$), and $A=(a_{ij})in L_{rm loc}^{infty}(Omega;mathbb{R}^{dtimes d})$ is a symmetric and locally uniformly positive definite matrix. The potential $V$ lies in a certain local Morrey space (depending on $p$) and has a Fuchsian-type isolated singularity at $zeta$.
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