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- Space Telescope Science InstituteUS138 papers
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8 papers · 2 filters
Finite energy solutions of quasilinear elliptic equations with sub-natural growth terms
Cao Tien Dat, Igor E. Verbitsky
We study finite energy solutions to quasilinear elliptic equations of the type where is the -Laplacian, , and is…
On the -Poisson semigroup associated with elliptic systems
José María Martell, Dorina Mitrea, Irina Mitrea +1
We study the infinitesimal generator of the Poisson semigroup in associated with homogeneous, second-order, strongly elliptic systems with constant complex coefficients in th…
Continuous dependence on the density for stratified steady water waves
Robin Ming Chen, Samuel Walsh
There are two distinct regimes commonly used to model traveling waves in stratified water: continuous stratification, where the density is smooth throughout the fluid, and layer-wi…
Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions
Steve Hofmann, Jose Maria Martell, Svitlana Mayboroda
Let , , be a uniformly rectifiable set of dimension . Then bounded harmonic functions in satisfy Carleson me…
The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
José María Martell, Dorina Mitrea, Irina Mitrea +1
We identify a large class of constant (complex) coefficient, second order elliptic systems for which the Dirichlet problem in the upper-half space with data in -based Sobolev…
The Dirichlet problem for elliptic systems with data in Köthe function spaces
José María Martell, Dorina Mitrea, Irina Mitrea +1
We show that the boundedness of the Hardy-Littlewood maximal operator on a Köthe function space and on its Köthe dual is equivalent to the well-posed…