FINITE ENERGY WEAK SOLUTIONS TO SOME DIRICHLET PROBLEMS WITH VERY SINGULAR DRIFTS AND NONLINEAR ADVECTION TERMS

Lucio Boccardo†, Pasquale Imparato‡

Abstract: In this paper, we study existence and main properties of weak solutions for a class of boundary value problems.

Keywords: elliptic equation, weak solutions, finite energy, Dirichlet boundary conditions, singular drift, nonlinear advection.

MSC: 35D30, 35J25, 35J62.

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DOI       10.56082/annalsarscimath.2026.1.229

†boccardo@mat.uniroma1.it, Istituto Lombardo & Sapienza Università di Roma
‡pasquale.imparato1994@gmail.com

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 1, 2026

       

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997