BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers
DOI10.1016/j.anihpc.2010.09.005zbMath1219.49003OpenAlexW2064387032MaRDI QIDQ619862
Jana Björn, Niko Marola, Anders Björn
Publication date: 18 January 2011
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.09.005
potential theorymetric spacenonlinearPoincaré inequalitydoubling measureweak Harnack inequalityquasiminimizer\(p\)-harmonicbounded mean oscillationquasisuperharmonicquasisuperminimizer
Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05) Analysis on metric spaces (30L99)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Capacity and potential estimates for quasiminimizers
- Cluster sets for Sobolev functions and quasiminimizers
- Nonlinear potential theory on metric spaces
- Quasi-minima
- Necessity of a Wiener type condition for boundary regularity of quasiminimizers and nonlinear elliptic equations
- Pasting lemmas and characterizations of boundary regularity for quasiminimizers
- A weak Kellogg property for quasiminimizers
- Boundary regularity for \(p\)-harmonic functions and solutions of the obstacle problem on metric spaces
- Moser iteration for (quasi)minimizers on metric spaces
- Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces
- Global integrability of \(p\)-superharmonic functions on metric spaces
- Reflection principle for quasiminimizers
- Harnack inequalities for quasi-minima of variational integrals
- Boundary regularity for quasiminima
- On the regularity of the minima of variational integrals
- Funktionen beschränkter mittlerer Oszillation
- Quasiconformal maps in metric spaces with controlled geometry
- Differentiability of Lipschitz functions on metric measure spaces
- Sobolev space properties of superharmonic functions on metric spaces
- Lectures on analysis on metric spaces
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Boundary continuity for quasiminimizers on metric spaces
- Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems
- A regularity classification of boundary points for \(p\)-harmonic functions and quasiminimizers
- Power-type quasiminimizers
- Remarks on quasi(sub)minima
- Weighted sobolev-poincaré inequalities for grushin type operators
- Sobolev met Poincaré
- On harnack type inequalities and their application to quasilinear elliptic equations
- Regularity of quasi-minimizers on metric spaces
- Harmonic functions on metric spaces
