7.7k citations
- Space Telescope Science InstituteUS138 papers
- University of ArizonaUS124 papers
- California Institute of TechnologyUS119 papers
- Center for Astrophysics Harvard & SmithsonianUS102 papers
- Centre National de la Recherche ScientifiqueFR86 papers
- University of California, BerkeleyUS71 papers
- University of MichiganUS64 papers
- Oak Ridge National LaboratoryUS62 papers
- University of FloridaUS62 papers
- Jet Propulsion LaboratoryUS61 papers
- University of California, DavisUS61 papers
- University of Illinois Urbana-ChampaignUS61 papers
4 papers · 2 filters
Wolff's inequality for intrinsic nonlinear potentials and quasilinear elliptic equations
Igor E. Verbitsky
We prove an analogue of Wolff's inequality for the so-called intrinsic nonlinear potentials associated with the quasilinear elliptic equation \[ -Δ_{p} u = σu^{q} \quad \text{in} \…
Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain
Hasan Inci, Y. Charles Li
We consider the incompressible 2D Euler equations on bounded spatial domain , and study the solution map on the Sobolev spaces (). Through an elaborate geometric…
Solutions to sublinear elliptic equations with finite generalized energy
Adisak Seesanea, Igor E. Verbitsky
We give necessary and sufficient conditions for the existence of a positive solution with zero boundary values to the elliptic equation \[ \mathcal{L}u = σu^{q} + μ\quad \text{in}…
Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin's operators
Yuri Latushkin, Shibi Vasudevan
We study spectral instability of steady states to the linearized 2D Euler equations on the torus written in vorticity form via certain Birman-Schwinger type operators and…