Tomasz Adamowicz's page

Tomasz Adamowicz's Page

Phone: 013-28 14 61

Research Interests

Geometric Function Theory, p-Harmonic and Quasiregular Worlds, Nonlinear Elliptic PDE's, Nonstandard Growth Equations and Image processing, Nonlinear Potential Theory, Analysis on Metric Spaces, Nonlinear Eigenvalue Problems, Calculus of Variations.

Publications and submitted manuscripts:

The Grötzsch problem in higher dimensions

Rend. Lincei Mat. Appl. (18) (2007), 163-177
On a variant of the maximum principle involving radial p-Laplacian with applications to nonlinear eigenvalue problems and nonexistence results (with A. Kałamajska)

Topol. Methods Nonlinear Anal., Volume 34, no. 1, (2009), 1-20
On p-harmonic mappings in the plane

Nonlinear Anal., Volume 71, Issues 1-2, 1 July 2009-15 July 2009, 502-511
Mappings of finite distortion and PDE with nonstandard growth (with P. Hästö)

Int. Math. Res. Not. IMRN, (2010), 1940-1965,doi:10.1093/imrn/rnp192
Maximum principles and nonexistence results for radial solutions to equations involving p-Laplacian (with A. Kałamajska)

Math. Methods Appl. Sci., Volume 33, Issue 13, (2010), 1618-1627
Non-conformal Loewner type estimates for modulus of curve families (with N. Shanmugalingam)

Ann. Acad. Sci. Fenn. Math., (35), (2010), 609-626
Harnack's Inequality and The Strong p(x)-Laplacian (with P. Hästö)

J. Differential Equations, Volume 250, Issue 3, 1 February 2011, 1631-1649
Remarks on time map for quasilinear equations (with P. Korman)

J. Math. Anal. Appl. Volume 376, Issue 2, 15 April 2011, 686-695
Prime ends for domains in metric spaces (with A. Björn, J. Björn, N. Shanmugalingam)

to appear in Adv. Math. 238 (2013) , 459-505.
The geometry of planar p-harmonic mappings: convexity, level curves and the isoperimetric inequality

to appear in Ann. Sc. Norm. Super. Pisa. Volume XIV, Issue 2, June 2015
Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces (with P. Harjulehto and P. Hästö), submitted
Regularity of $p(\cdot)$-superharmonic functions, the Kellogg property and semiregular boundary points (with A. Björn, J. Björn), submitted

Teaching

Some of my teaching evaluations are available here (1 - min, 5 - max).

Spring 2003, Fall 2003: Linear Algebra with Geometry. (Recitations)

Fall 2005, Fall 2006: Calculus 1. (Recitations)

Spring 2007, Fall 2007, Spring 2008: Calculus 3.

Fall 2008: Calculus 2.

Winter 2009: Calculus 3.

Spring 2009: Calculus 4 (Section 1), Calculus 4 (Section 2).

Fall 2009: Differential Equations (Section 1), Differential Equations (Section 2).

Winter 2010: Calculus 1.

Spring 2010: Calculus 2.

Fall(1st half) 2011, 2012: Flervariabelanalys (Calculus 3-4)

Fall(2nd half) 2010, 2011: Envariabelanalys 1 (Calculus 1)

Fall 2011, 2012: Linear Algebra

Winter 2011, 2012, 2013: Envariabelanalys 2 (Calculus 2-3)

Spring 2011, 2012, 2013: Flervariabelanalys (Calculus 3-4)

Some links

Calculus of Variations and PDEs, Szczawnica 9-12 July 2012, a satellite conference of 6th ECM

Tomasz Adamowicz's Page

Research Interests

Publications and submitted manuscripts:

The Grötzsch problem in higher dimensions

Rend. Lincei Mat. Appl. (18) (2007), 163-177

On a variant of the maximum principle involving radial p-Laplacian with applications to nonlinear eigenvalue problems and nonexistence results (with A. Kałamajska)

Topol. Methods Nonlinear Anal., Volume 34, no. 1, (2009), 1-20

On p-harmonic mappings in the plane

Nonlinear Anal., Volume 71, Issues 1-2, 1 July 2009-15 July 2009, 502-511

Mappings of finite distortion and PDE with nonstandard growth (with P. Hästö)

Int. Math. Res. Not. IMRN, (2010), 1940-1965,doi:10.1093/imrn/rnp192

Maximum principles and nonexistence results for radial solutions to equations involving p-Laplacian (with A. Kałamajska)

Math. Methods Appl. Sci., Volume 33, Issue 13, (2010), 1618-1627

Non-conformal Loewner type estimates for modulus of curve families (with N. Shanmugalingam)

Ann. Acad. Sci. Fenn. Math., (35), (2010), 609-626

Harnack's Inequality and The Strong p(x)-Laplacian (with P. Hästö)

J. Differential Equations, Volume 250, Issue 3, 1 February 2011, 1631-1649

Remarks on time map for quasilinear equations (with P. Korman)

J. Math. Anal. Appl. Volume 376, Issue 2, 15 April 2011, 686-695

Prime ends for domains in metric spaces (with A. Björn, J. Björn, N. Shanmugalingam)

to appear in Adv. Math. 238 (2013) , 459-505.

The geometry of planar p-harmonic mappings: convexity, level curves and the isoperimetric inequality

to appear in Ann. Sc. Norm. Super. Pisa. Volume XIV, Issue 2, June 2015

Maximal operator in variable exponent Lebesgue spaces on unbounded quasimetric measure spaces (with P. Harjulehto and P. Hästö), submitted

Regularity of $p(\cdot)$-superharmonic functions, the Kellogg property and semiregular boundary points (with A. Björn, J. Björn), submitted