Lebesgue points and the fundamental convergence theorem for superharmonic functions on metric spaces
From MaRDI portal
Publication:971964
DOI10.4171/RMI/598zbMath1203.31018WikidataQ110086166 ScholiaQ110086166MaRDI QIDQ971964
Anders Björn, Mikko Parviainen, Jana Björn
Publication date: 17 May 2010
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmi/1266330121
superharmonic function\(p\)-harmonic functionfundamental convergence theorem\(\mathcal{A}\)-harmonic function
Nonlinear elliptic equations (35J60) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05)
Related Items
The obstacle and Dirichlet problems associated with p-harmonic functions in unbounded sets in R^n and metric spaces, The Cartan, Choquet and Kellogg properties for the fine topology on metric spaces, Prime ends for domains in metric spaces, Volume growth, capacity estimates, \(p\)-parabolicity and sharp integrability properties of \(p\)-harmonic Green functions, The Perron method for \(p\)-harmonic functions in unbounded sets in \(\mathbf {R}^n\) and metric spaces, The variational capacity with respect to nonopen sets in metric spaces, The fundamental convergence theorem for \(p(\cdot )\)-superharmonic functions, The double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces, Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces, Neumann problem for \(p\)-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity, The BV-capacity in metric spaces, Convergence results for obstacle problems on metric spaces, Continuous dependence on obstacles for the double obstacle problem on metric spaces, Local and semilocal Poincaré inequalities on metric spaces, Maximal Functions in Sobolev Spaces, A nearest neighbor characterization of Lebesgue points in metric measure spaces, Nonlinear balayage on metric spaces, Obstacle and Dirichlet problems on arbitrary nonopen sets in metric spaces, and fine topology
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