We prove the existence and uniqueness of nonnegative solutions to the following singular anisotropic elliptic equation involving the Finsler p-Laplace operator: −(Equation presented)⊂ RN is a bounded smooth domain, p > 1, γ > 0, N ≥ 2, f ≥ 0 in Ω (not identically zero), H is a Finsler norm, and it is subject to zero Dirichlet boundary conditions. In particular, we obtain our results under very general summability assumptions on the source term f.
Existence and uniqueness for anisotropic quasilinear elliptic equations involving singular nonlinearities
Esposito, Francesco;Sciunzi, Berardino
;Trombetta, Alessandro
2024-01-01
Abstract
We prove the existence and uniqueness of nonnegative solutions to the following singular anisotropic elliptic equation involving the Finsler p-Laplace operator: −(Equation presented)⊂ RN is a bounded smooth domain, p > 1, γ > 0, N ≥ 2, f ≥ 0 in Ω (not identically zero), H is a Finsler norm, and it is subject to zero Dirichlet boundary conditions. In particular, we obtain our results under very general summability assumptions on the source term f.File in questo prodotto:
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