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Research reports by Niko Marola

Here are the reports authored by Niko Marola. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

A518

Niko Marola

Regularity and convergence results in the calculus of variations on metric spaces   [pdf][ps] abstract: [pdf][ps]

Received 2007-02-06 * Caccioppoli inequality, doubling measure, Harnack covergence theorem, Harnack inequality, metric space, minimizer, Moser iteration, Newtonian space, nonlinear eigenvalue problem, p-Dirichlet integral, p-Laplace equation, Poincare inequality, quasiminimizer, quasisubminimizer, quasisuperminimizer, Rayleigh quotient, Sobolev space, subminimizer, superminimizer * AMS 35J20, 35J60, 35P30, 49J27, 49J52, 49N60 * 13 pages

A490

Anders Björn, Niko Marola

Moser iteration for (quasi)minimizers on metric spaces   [pdf][ps] abstract: [pdf][ps]

Received 2005-09-22 * Caccioppoli inequality, doubling measure, Harnack inequality, metric space, minimizer, Newtonian space, p-harmonic, Poincar'e inequality, quasiminimizer, quasisubminimizer, quasisuperminimizer, Sobolev space, subminimizer, superminimizer. * AMS 49N60; Secondary: 35J60, 49J27. * 29 pages

A484

Visa Latvala, Niko Marola, Mikko Pere

Harnack's inequality for a nonlinear eigenvalue problem on metric spaces   [pdf][ps] abstract: [pdf][ps]

Received 2005-03-10 * Sobolev space, Newtonian space, Caccioppoli estimate, Harnack's inequality, First eigenvalue, First eigenfunction, Rayleigh quotient, p-Dirichlet integral, Moser iteration * AMS 35P30, 35J20 * 20 pages

A478

Niko Marola

Moser's method for minimizers on metric measure spaces   [pdf][ps] abstract: [pdf][ps]

Received 2004-10-29 * Sobolev space, Newtonian space, Caccioppoli estimates, Harnack's inequality * AMS 49N60, 35J20 * 23 pages