Unique continuation for non-negative solutions of quasilinear elliptic equations

DOI10.1017/S0004972700019766zbMath0989.47037MaRDI QIDQ2748275

Pietro Zamboni

Publication date: 14 October 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equationsKato conditionsunique continuation problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) General theory of partial differential operators (47F05) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

Compactness results for divergence type nonlinear elliptic equations ⋮ Strong unique continuation for solutions of a \(p(x)\)-Laplacian problem ⋮ A Fefferman-Poincaré type inequality for Carnot-Carathéodory vector fields ⋮ Unnamed Item ⋮ Nonlinear Kato class and unique continuation of eigenfunctions for \(p\)-Laplacian operator ⋮ Unique continuation for nonnegative solutions of Schrödinger type inequalities ⋮ Sum Operators and Fefferman–Phong Inequalities ⋮ Higher-order Fefferman-Poincaré type inequalities and applications ⋮ Harnack inequality for degenerate elliptic equations and sum operators ⋮ Nonlinear elliptic equations related to weighted sum operators

Cites Work

• Unnamed Item
• A partial answer to a conjecture of B. Simon concerning unique continuation
• Local behavior of solutions of quasi-linear equations
• Schrödinger semigroups
• The uncertainty principle
• A Remark on a Paper by C. Fefferman
• Unique Continuation for Δ+ υ and the C. Fefferman-Phong Class
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• The local regularity of solutions of degenerate elliptic equations