Affiliation:
1. Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II, 84084 Fisciano, Italy
Abstract
In this paper, we study a noncoercive nonlinear elliptic operator with a drift term in an unbounded domain. The singular first-order term grows like |E(x)||∇u|, where E(x) is a vector field belonging to a suitable Morrey-type space. Our operator arises as a stationary equation of diffusion–advection problems. We prove existence, regularity, and uniqueness theorems for a Dirichlet problem. To obtain our main results, we use the weak maximum principle and the same a priori estimates.
Funder
Elliptic and parabolic problems, heat kernel estimates and spectral theory
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