1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.AP2018
Global Sobolev inequalities and Degenerate P-Laplacian equations
David Cruz-Uribe, Scott Rodney, Emily Rosta
We prove that a local, weak Sobolev inequality implies a global Sobolev estimate using existence and regularity results for a family of -Laplacian equations. Given $Ω\subset\mat…
math.AP2017★ 1 cited
Poincare Inequalities and Neumann Problems for the p-Laplacian
David Cruz-Uribe, Scott Rodney, Emily Rosta
We prove an equivalence between weighted Poincare inequalities and the existence of weak solutions to a Neumann problem related to a degenerate p- Laplacian. The Poincare inequalit…