Petr Girg

Curriculum Vitae

Petr Girg

Contact Address:

Department of Mathematics, University of West Bohemia

Univerzitni 22, CZ-30614 Plzen,Czech Republic

pgirg@kma.zcu.cz

Professional Preparation:

1997 Ing., University of West Bohemia, Plzen, Czech Republic

2001 Ph.D., University of West Bohemia, Plzen, Czech Republic

Appointments:

Senior Lecturer, University of West Bohemia 1997 present

Visiting Professor, University of North Carolina at Greensboro, Spring 2005

Humboldt Fellow, University of Rostock, Rostock, Germany, 2003--2004

Exchange student (1998/1999) and fellow of the Spanish Ministry of foreign affairs

(2000), University of Granada, 1998-2000

Five relevant publications:

R1. P. Binding, L. Boulton, P. Drabek, J. Cepicka, and Petr Girg, Basis properties of

eigenfunctions of the p-Laplacian, Proc. Amer. Math. Soc., 134, 2006, 3487--3494.

R2. P. Drabek, P. Girg, P., and R. Manasevich, Generic Fredholm alternative-type results for the one dimensional p-Laplacian, Nonlinear Differ. Equ. Appl. 8 (2001), pp. 285-298. MR1841260 (2002f:34027) (cited by 1, 2, 3, 4, 5, 6, 7, 8, 9)

R3. Petr Girg, Symbolic computation of asymptotic formula for large solutions of the p-

Laplacian using Mathematica. In 5th International Conference Proceedings of Aplimat (M. Kovacova ed.), Part II, Slovak Univ. of Tech., Bratislava, 2006, 237--248.

R4. P.Drabek, Petr Girg, P. Takac, and M. Ulm, The Fredholm alternative for the $p$-

Laplacian: bifurcation from infinity, existence and multiplicity, Indiana Univ.

Mathematical Journal 53, 2004, pp 433--482. MR2060041 (2005f:35095)

(cited by 1, 2, 3, 4, 5, 6)

R5. P.Drabek, Petr Girg and P.Takac, Bounded Perturbation of Homogeneous

Quasilinear Operators Using Bifurcation from Infinity, J. Differential Equations, 204,

2004, 265--291. MR2085538 (2006e:35094) (cited by 1, 2)

Complete list of publications:

In journals (last five years):

J01. P. Binding, L. Boulton, P. Drabek, J. Cepicka and Petr Girg, Basis properties of

eigenfunctions of the p-Laplacian, Proc. Amer. Math. Soc., 134, 2006, 3487--3494. MR2240660 (2007d:34158)

J02. M. Chhetri and P. Girg, Nonexistence of nonnegative solutions for a class of (p-

1)-superhomogeneous semipositone problems,

J. Math. Anal. Appl. 322, 2006, 957963. MR2250628 (2007d:35081)

J03. P. Girg, F. Roca, and S. Villegas, Semilinear Sturm Liouville Problem with Periodic

Nonlinearity, Nonlinear Analysis, T.M.A., 2005, 1157--1178. MR2131647 (2005k:34099)

(cited 1)

J04. P.Drabek, Petr Girg, P. Takac, and M. Ulm, The Fredholm alternative for the $p$-

Laplacian: bifurcation from infinity, existence and multiplicity, Indiana Univ.

Mathematical Journal 53, 2004, pp 433--482. MR2060041 (2005f:35095) (cited by 1, 2, 3, 4, 5, 6)

J05. J. Cepicka, P. Drabek, and P. Girg, Open Problems related to the p-Laplacian, Bol. Soc. Esp. Mat. Apl. 29, 2004, 13--34.

J06. P.Drabek, Petr Girg, and P.Takac, Bounded Perturbation of Homogeneous

Quasilinear Operators Using Bifurcation from Infinity, J. Differential Equations, 204,

2004, 265--291. MR2085538 (2006e:35094) (cited by 1, 2)

J07. N. Del Toro, P. Girg, and F. Roca, On Dirichlet Problem with Nonlinearity Depending only on the Derivative, Appl. Math. Lett. 16, (2003), pp. 7-12. MR1938186 (2003h:34040) (cited by 1, 2)

In journals (older than five years):

J08. P. Drabek, P. Girg and F. Roca, On the Range Properties of Certain Landesman-

Lazer-type Problem, J. Math. Anal. and Appl. 257, 2001, 131--140. MR1824670 (2002a:34020) (cited by 1, 2)

J09. P. Drabek, P. Girg, R. Manasevich, Generic Fredholm alternative-type results for the one dimensional p-Laplacian, Nonlinear Differ. Equ. Appl. 8 (2001), pp. 285-298. MR1841260 (2002f:34027) (cited by 1, 2, 3, 4, 5, 6, 7, 8, 9)

J10. P. Girg, and F. Roca, On the Range of Certain Pendulum-Type Equations, J. Math. Anal. Appl. 249 (2000), pp. 445-462. MR1781234 (2001g:34051)

J11. P. Girg, Neumann and periodic boundary-value problems for quasilinear ordinary

differential equations with a nonlinearity in the derivative, Electronic Journal of

Differential Equations 2000, 2000, 128. MR1799793 (2001j:34024)

J12. P. Girg, Existence of periodic solutions for a semilinear ordinary differential equation, Electronic Journal of Differential Equations 1998 (1998), pp. 1-10. MR1657191 (99k:34043)

In Proceedings:

P1. J. Cepicka, P. Drabek, and P. Girg, Quasilinear Boundary Value Problems:

Existence and Multiplicity Results, In Variational Methods: Open Problems, Recent

Progress, and Numerical Algorithms (J. M. Neuberger ed.) published by the American

Mathematical Society: Contemporary Mathematics, 357, 2004, 111--139. MR2087171 (2005f:35093)

P2. P. Girg, Mathematical Model of Heat-Exchanger Tube and Parameter Indentification. In Proceedings Interaction and Feedbacks '2004 (I. Zolotarev ed.), Institute of Thermomechanics AS CR, Prague, 2004

P3. J.L. Gamez, P. Girg, F. Roca, On the range of certain nonlinear boundary value problem. In Proceedings of `VI-emes Journees Zaragoza-Pau de Mathematiques Appliquees et de Statistiques 1999', Jaca, 2001; MR1875246 (2002m:35070)

P4. J. Girg, and P. Girg, Errors in evaluation of mean value of the signal with very low frequency. In Applied Electronics 2000 (Jiri Pinker ed.), ZCU, Plzen, 2000.

P5. P. Girg, Some remarks on the solvability of the Neumann and periodic BVP's for certain quasilinear ODE, In Function Spaces, Differential Operators and Nonlinear Analysis (Mustonen, V. & Rakosnik, J. eds.), Academy of Sciences of the Czech Republic, Prague 2000.

P6. P. Girg, and F. Roca, E.D. tipo pendulo frente a E.D. tipo Landesman-Lazer: Comparacion de los rangos. In Actas XVI CEDYA/VI CMA (Montenegro, R., Montero, G. & Winter, G. eds.), Universidad Las Palmas de Gran Canaria, 1999.

P7. P. Girg, Nelinearni diferencialni rovnice s nelinearitou v derivaci. In MOSD '97 (Girg, P. ed.), ZCU, Plzen, 1998.

Synergistic Activities:

Conference Organizing

C1. Section Interdisciplinary Research Projects for Undergraduates within the AISC conference held in Greensboro, NC, USA in October 2007; co-organized with Jan Rychtar (UNCG Greensboro).

C2. Member of the Organizing Committee of the Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems, conference held in Flagstaff, AZ, USA in May 2007; co-organized with John M. Neuberger (chairman, NAU Flagstaff) and Maya Chhetri (UNCG Greensboro); plenary speakers: Djairo de Figueiredo (Universidad Estad. de Campinas, Brazil), Jean Mawhin (Universite Catholique de Louivain, Belgium), James Serrin (University of Minnesota, USA), Peter Takac (Universitaet Rostock, Germany), Jianxin Zhou (Texas A&M University).

C3. Mathematica Seminars in Bratislava, an event associated to the Aplimat 2007 conference

held in Bratislava, Slovak in February 2007; co-organized with Monika Kovacova (STU Bratislava), and Vaclav Zak (Elkan s.r.o. Praha); plenary speakers: Conrad Wolfram (Wolfram Research Inc., USA), Tom Wigham-Jones (Wolfram Research Europe Inc., UK), Gerardo Rodriguez (EPS de Zamora, Spain), and Augustin De la Villa (Pontifica Comillas, Spain).

C4. Member of the Scientific Committee of the Aplimat 2007 conference

held in Bratislava, Slovak in February 2007.

Professional Associations

A1. Member of the committee of Czech Mathematical Society, section of the Union of Czech Mathematicians and Physicists.

A2. Member of the committee for planning and development of the Faculty

of Applied Sciences, University of West Bohemia.

Teaching

Girg teaches a wide range of courses, many that relate to his current research. He is

currently co-advising two master theses, both closely related to above mentioned project -

one nonlinear elliptic PDE the other is focused on advanced statistical methods applied to

social and medical sciences (here he advises numerical solution of extended systems of

equations and concurrent programming).

Girg serves as project manager for {http://webmath.zcu.cz}. This project provides

computational background for performing large numerical experiments and also supports

teaching mathematics by providing web-based computational applications. The system is

heavily used by students for verifying their works and processing experimental data

obtained in laboratories. A student working on this project, Josef Otta, won 2nd --- 3rd

prize at the conference SCRA 2006 held in Tomar, Portugal, in the student competition

devoted to undergraduate research; he works in strongly nonlinear equations of elliptic

type.

Advisors and Collaborators:

Ph.D. Thesis Advisor: Pavel Drabek and Francisco Roca as consultant specialist

Paul Binding, University of Calgary, Calgary, Canada

Lyonell Boulton, University of Calgary, Calgary, Canada

Jan Cepicka, University of West Bohemia, Plzen, Czech Republic

Maya Chhetri, University of North Carolina at Greensboro

Naira Del Toro, University of Jaen, Linares, Spain

Pavel Drabek, University of West Bohemia, Plzen, Czech Republic

Raul Manasevich, University of Chile, Santiago de Chile, Chile

Francisco Roca, University of Jaen, Linares, Spain

Peter Takac, University of Rostock, Rostock, Germany

Michael Ulm, University of Rostock, Rostock, Germany

Salvador Villegas, University of Granada, Granada, Spain