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math.CA2016★ 1 cited
Sharp local boundedness and maximum principle in the infinitely degenerate regime via DeGiorgi iteration
Lyudmila Korobenko, Cristian Rios, Eric Sawyer +1
We obtain local boundedness and maximum principles for weak subsolutions to certain infinitely degenerate elliptic divergence form equations, and the local boundedness turns out to…
math.CA2015★ 4 cited
Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate elliptic equations
Lyudmila Korobenko, Cristian Rios, Eric Sawyer +1
We develop subrepresentation inequalities for infinitely degenerate metrics, and obtain corresponding Poincare and Sobolev inequalities. We then derive conditions on the degenerate…