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Research reports by Teemu Lukkari

Here are the reports authored by Teemu Lukkari. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

A541

Teemu Lukkari

Nonlinear potential theory of elliptic equations with nonstandard growth   [pdf][ps]

Received 2008-02-08 * Nonstandard growth, variable exponent, p(x)-Laplacian, logarithmic Hölder continuity, Caccioppoli estimate, Moser iteration, Harnack's inequality, regularity, comparison principle, superharmonic function, removability, growth of solutions, existence of generalized solutions, measure data * AMS 35J70, 35J60, 31C45, 35B45, 35B50, 35D05, 35D10, 46E35 * 21 pages

A519

Teemu Lukkari

Elliptic equations with nonstandard growth involving measure data   [pdf][ps] abstract: [pdf][ps]

Received 2007-02-09 * Nonstandard growth, measure data, superharmonic functions * AMS 35J70, 35D05, 31C45 * 18 pages