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Nonlinear Analysis and Geometric Function Theory

Call for Papers

In the area of partial differential equations, geometric function theory has an important role. The most recent developments in the theory of planar and space quasiconformal mappings are related to PDEs and nonlinear analysis. Nonlinear analysis deals with solving nonlinear problems in many areas of theoretic disciplines and in industry. Fixed-point theory is an important branch of nonlinear analysis, to investigate the conditions under which single-valued or multivalued mappings have solutions. Fixed-point techniques have been applied in diverse fields such as physics, biology, chemistry, economics, engineering, and game theory.

We invite authors to submit original research and review articles that will stimulate the significant contributions to the theory and applications of quasiconformal mappings and the topics inextricably linked by the theory of quasiconformal mappings. Moreover, we invite the participants and researchers of the Conference on Geometric Function Theory (http://www.matf.bg.ac.rs/eng/vesti/376/-conference-on-geometric-function-theory-23-24-october-2013-belgrade/), which will be held in Belgrade by the Faculty of Mathematics at the University of Belgrade from October 23 to October 24, 2013, to contribute the extended versions of their papers to this special issue. We are interested in articles concerning important developments in fixed-point theory of mappings satisfying nonlinear deterministic, or nondeterministic conditions in various spaces. We are interested particularly in application of fixed-point techniques to partial differential equations and, generally, to complex analysis. Potential topics include, but are not limited to:

  • Modular spaces of Riemann surfaces and conformal dynamical systems
  • Teichmüller theory and applications to geometry, topology, and dynamics
  • Existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings
  • Elliptic partial differential equations and quasiconformal mappings in the plane
  • Harmonic and quasiconformal mappings and generalizations
  • Conformal geometry and quasiregular mappings
  • Nonlinear potential theory of degenerate elliptic equations
  • Geometric function theory
  • Isoperimetric inequality
  • Fixed-point theory in various spaces

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/geof/ according to the following timetable:

Manuscript DueFriday, 24 January 2014
First Round of ReviewsFriday, 18 April 2014
Publication DateFriday, 13 June 2014

Lead Guest Editor

  • Ljubomir B. Ćirić, Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia

Guest Editors

  • Samuel Krushkal, Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel
  • Qamrul Hasan Ansari, Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
  • David Kalaj, Faculty of Natural Sciences and Mathematics, University of Montenegro, Podgorica, Montenegro
  • Vesna Manojlović, Mathematical Institute SANU and Faculty of Organizational Sciences, University of Belgrade, Belgrade, Serbia