Boundary estimates for singular elliptic problems involving a gradient term

2025/08/10 by Le, Phuong · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.07360

Abstract

We study the behavior of weak solutions to the singular quasilinear elliptic problem -Δ_p u + ϑ |∇ u|^q = (1)/(u^γ) + f(u), in a bounded domain with the Dirichlet boundary condition, where p>1, γ>0, 0

Citations

• The moving plane method for doubly singular elliptic equations involving\n a first order term
• On the H "opf Boundary Lemma for quasilinear problems involving\n singular nonlinearities and applications
• Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces
• Semilinear elliptic equations with singular nonlinearities
• On a singular nonlinear elliptic boundary-value problem

Cited by

• Monotonicity in half-spaces for singular quasilinear elliptic problems involving the gradient

Related

• Monotonicity in half-spaces for singular quasilinear elliptic problems involving the gradient
• Up-to-boundary pointwise gradient estimates for very singular quasilinear elliptic equations with mixed data
• Existence and regularity of weak solutions for singular elliptic equations
• Gradient estimates for singular quasilinear elliptic equations with measure data
• Regularity gradient estimates for weak solutions of singular\n quasi-linear parabolic equations