Differential and Integral Equations

Finite energy weak solutions to some Dirichlet problems with very singular drift

Lucio Boccardo

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Abstract

In this paper, the boundary problems (1.1) and (3.1) are studied. The main results are the existence of a bounded weak solution of (1.1) under the minimal assumption (1.3) on $E$, and of the quasilinear problem (Hamilton-Jacobi equation) (3.1).

Article information

Source
Differential Integral Equations, Volume 32, Number 7/8 (2019), 409-422.

Dates
First available in Project Euclid: 2 May 2019

Permanent link to this document
https://projecteuclid.org/euclid.die/1556762423

Mathematical Reviews number (MathSciNet)
MR3945762

Subjects
Primary: 35J20: Variational methods for second-order elliptic equations 35J60: Nonlinear elliptic equations 35J62: Quasilinear elliptic equations

Citation

Boccardo, Lucio. Finite energy weak solutions to some Dirichlet problems with very singular drift. Differential Integral Equations 32 (2019), no. 7/8, 409--422. https://projecteuclid.org/euclid.die/1556762423


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