Djairo Guedes de Figueiredo

• Abstract

  In the period of the visit of Professor Ubilla to the UNICAMP we will continue our research in the area of Partial Differential Equations, studying: 1) Hamiltonian Systems, 2) Nonlinear Differential Equations, mostly the p-Laplacian.For Hamiltonian Systems , we will study the questions of existence and multiplicity of solutions for boundary value problems in bounded domains , as well in t…

  Systems of partial differential equations and nonlinear elliptic equations, AV.EXT

• Abstract

  Visit of Prof B. Ruf to the Mtah Dpt of IMECC. To participate in research in the Theory of Semilinear Partial Differerential Equations of Elliptic type, studying critical systems in dimensio 2, with non-linearities of the Trudinger-Moser type. (AU)

  Semilinear elliptic equations in dimension 2 with Trudinger-Moser nonlinearities, AV.EXT
• Yang Jianfu | Institute of Physics/Chinese Academy of Sciences - China, AV.EXT

(Only some records are available in English at this moment)

• Abstract

  The focus of the project is the study of solutions of elliptic differential partial equations and systems and its properties, such as existence, multiplicity and regularity. Some important techniques that emerge naturally from these problems will be studied and applied to a specific problem. The principal tools are: variational methods (e.g. The Mountain Pass Theorem) and topological met…

  Aspects of Nonlinear Elliptic Equations and Systems, BP.DR

• Abstract

  The candidate should register in basic courses required for the "Qualification Examination". Parallel to that he will be studying topics necessary for his research in the area of Elliptic Equations, by reading chapters of "Functional Analysis, Sobolev Spaces and Partial Differential Equations" de H. Brezis, and papers listed in the Summary. (AU)

  Non linear elliptic equations and systems, BP.DD

• Abstract

  Trudinger-Moser inequality deals with the critical case of the Sobolev embedding: if p=n, \Omega \subset R^n is a C^{1} and bounded domain and u \in W_{0}^{1,p}(\Omega), then for any \alpha > 0, e^{\alpha |u|^q} \in L^{1}(\Omega), for q = \frac{n}{n-1}. It was showed by J. Moser that if \alpha \leq n \omega_{n-1}^{1/n-1}, the supremum (taken over the unit ball of W_{0}^{1,p}(\Omega)) of t…

  Weighted Trudinger-Moser inequalities on unbounded domains, BE.EP.DR

• Abstract

  We will study gradient dependent elliptic problems and related theories: Degree Theory, Fixed Point Theory, bifurcation, etc. (AU)

  Topics in non-linear analysis and partial differential equations, BE.EP.DD