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This is an introductory course on Elliptic Partial Differential Equations. The course will cover the theory of both classical and generalized (weak) solutions of elliptic PDEs.
Related publications (10)
Please note that this is not a complete list of this person’s publications. It includes only semantically relevant works. For a full list, please refer to Infoscience.
We establish symmetry results for two categories of overdetermined obstacle problems: Serrin-type problems and problems for two-phase conductors under the overdetermination that the interface serves as a level surface of the solution. The first proof avoid ...
We consider a conservation law with strictly positive wave velocity and study the well-posedness of a suitable notion of solution for the associated initial value problem under a flux constraint active in the half-line R+. The strict positivity of the wave ...
The fractional Caffarelli-Kohn-Nirenberg inequality states that ˆRn ˆRn (u(x) − u(y)) 2 |x| α |x − y| n+2s |y| α dx dy ≥ n,s,p,α,β u|x| −β 2 L p , for 0 < s < min{1, n/2}, 2 < p < 2 * s , and α, β ∈ R so that β − α = s − n 1 2 − 1 p and −2s < α < n−2s 2. C ...
