52 citations · 58 across the 2 of their papers we have counts for
3 papers
math.FA2020★ 52 cited
A surprising formula for Sobolev norms
Haim Brezis, Jean Van Schaftingen, Po-Lam Yung
We establish the equivalence between the Sobolev semi-norm and a quantity obtained when replacing the strong by a weak norm in the Gagliardo semi-n…
math.CA2019
Non-local, non-convex functionals converging to Sobolev norms
Haim Brezis, Hoai-Minh Nguyen
We study the pointwise convergence and the -convergence of a family of non-local, non-convex functionals in for . We show that the limits are multiples of $\…
math.AP2013★ 6 cited
Nonlinear elliptic equations with measures revisited
Haïm Brezis, Moshe Marcus, Augusto C. Ponce
We study the existence of solutions of the nonlinear problem $$ \left\{ \begin{alignedat}{2} -Δu + g(u) & = μ& & \quad \text{in } Ω,\\ u & = 0 & & \quad \text{on } \partial Ω, \end…