scientific article; zbMATH DE number 653408
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Publication:4309259
zbMath0803.31005MaRDI QIDQ4309259
Publication date: 12 October 1994
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Nonlinear elliptic equations (35J60) Fine potential theory; fine properties of sets and functions (31C40) Other generalizations (nonlinear potential theory, etc.) (31C45)
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The Cartan, Choquet and Kellogg properties for the fine topology on metric spaces ⋮ The Dirichlet problem for \(p\)-minimizers on finely open sets in metric spaces ⋮ Convergence and local-to-global results for \(p\)-superminimizers on quasiopen sets ⋮ Continuity of weak solutions of elliptic partial differential equations ⋮ Quasiopen and \(p\)-path open sets, and characterizations of quasicontinuity ⋮ Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces ⋮ Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets ⋮ Obstacle and Dirichlet problems on arbitrary nonopen sets in metric spaces, and fine topology
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