Stationary and Evolution Problems

• Grant number: 09/14795-0
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2010
• End date: January 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Lynnyngs Kelly Arruda Saraiva de Paiva
• Grantee: Lynnyngs Kelly Arruda Saraiva de Paiva
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• City of the host institution: São Carlos

Abstract

In this project we explore analytically and numerically different aspects of travelling wave solutions for some classical dispersive equations. More precisely, a part of this work isconcerned with existence and orbital stability/instability properties for different classes of periodic travelling wave solutions for these equations. The other part is about to prove some nonexistence and multiplicity results of positive solutions for a class of quasilinear elliptic systems involving a parameter. (AU)

Scientific publications

(4)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

ARRUDA, LYNNYNGS KELLY; DE PAVIA, FRANCISCO ODAIR; MARQUES, ILMA. A REMARK ON MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 31, n. S, p. 112-116, SEP 2011. (09/14795-0)

ARRUDA, LYNNYNGS KELLY; DE PAIVA, FRANCISCO ODAIR; MARQUES, ILMA. A REMARK ON MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, n. S, SI, p. 112-116, SEP 2011. (09/14795-0)

ARRUDA, LYNNYNGS KELLY; DE PAVIA, FRANCISCO ODAIR; MARQUES, ILMA. A REMARK ON MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 31, p. 5-pg., 2011-09-01. (09/14795-0)

ARRUDA, LYNNYNGS K.; CHEMETOV, NIKOLAI V.. Embedding theorem for bounded deformations in domains with cusps. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 37, n. 17, p. 2739-2745, NOV 30 2014. (12/19611-7, 09/14795-0)