Geometric measure of singular sets of elliptic equations
From MaRDI portal
Publication:4266424
DOI<1425::AID-CPA8>3.0.CO;2-3 10.1002/(SICI)1097-0312(199811/12)51:11/12<1425::AID-CPA8>3.0.CO;2-3zbMath0940.35065OpenAlexW2068360061MaRDI QIDQ4266424
Qing Han, Fang-Hua Lin, Robert M. Hardt
Publication date: 14 November 1999
Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199811/12)51:11/12<1425::aid-cpa8>3.0.co;2-3
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15)
Related Items (36)
On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons ⋮ Critical points of solutions to a kind of linear elliptic equations in multiply connected domains ⋮ Classification of singular sets of solutions to elliptic equations ⋮ Parabolic frequency monotonicity on Ricci flow and Ricci-harmonic flow with bounded curvatures ⋮ Upper bound of critical sets of solutions of elliptic equations in the plane ⋮ A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three ⋮ Critical sets of elliptic equations with rapidly oscillating coefficients in two dimensions ⋮ On the nodal set of solutions to some sublinear equations without homogeneity ⋮ On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions ⋮ Stability of spacelike surfaces with constant mean curvature in Lorentzian manifolds ⋮ Critical sets of eigenfunctions of the Laplacian ⋮ Nodal sets of solutions of equations involving magnetic Schrödinger operator in three dimensions ⋮ The Hölder continuities of the maps in \(W^{1,p}(\Omega,\mathbb H^{n})\). ⋮ 𝑄-valued functions revisited ⋮ Doubling inequality and nodal sets for solutions of bi-Laplace equations ⋮ Conformal invariants from nodal sets. II: Manifolds with boundary ⋮ On phase separation in systems of coupled elliptic equations: asymptotic analysis and geometric aspects ⋮ Regularity of the nodal set of segregated critical configurations under a weak reflection law ⋮ Hausdorff measure of critical sets of solutions to magnetic Schrödinger equations ⋮ The growth of \(H\)-harmonic functions on the Heisenberg group ⋮ The nodal set of solutions to anomalous equations ⋮ A metric Sturm-Liouville theory in two dimensions ⋮ The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem ⋮ Proof that static stellar models are spherical ⋮ Doubling inequalities and critical sets of Dirichlet eigenfunctions ⋮ Singular Sets of Higher Order Elliptic Equations ⋮ Singularities of the nodal set of segregated configurations ⋮ Nodal sets and doubling conditions in elliptic homogenization ⋮ Critical sets of solutions to elliptic equations. ⋮ The diameter estimate and its application to CR Obata’s Theorem on closed pseudohermitian $(2n+1)$-manifolds ⋮ Critical Sets of Elliptic Equations ⋮ Nodal sets for broken quasilinear partial differential equations with Dini coefficients ⋮ Boundary Harnack principle on nodal domains ⋮ Nodal sets and horizontal singular sets of ℍ-harmonic functions on the Heisenberg group ⋮ The nodal set of solutions to some nonlocal sublinear problems ⋮ On the Betti numbers of level sets of solutions to elliptic equations
This page was built for publication: Geometric measure of singular sets of elliptic equations