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Boundary value problem with measures for fractional elliptic equations

October 3 @ 4:30 pm - 5:30 pm

I’ll discuss universal a priori estimate for positive solutions (and their gradients) of equation (E) (−∆)su = f(u) in any arbitrary domain of RN for a large class of continuous function f and for s ∈ (1/2, 1). Then for C2 bounded domain, I’ll discuss the existence of positive solutions of (E) with prescribed boundary value ν, where ν is a positive Radon measure and discuss regularity property of the solutions. When f(u) = up, I’ll demonstrate the existence of critical exponent and the multiplicity of positive solutions. It’s a joint work with Phuoc Tai Nguyen.Discipline/Coordinating Entity: Mathematics

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Date:
October 3
Time:
4:30 pm - 5:30 pm
Event Category:

Venue

7/107