On Hamiltonian elliptic systems with exponential growth in dimension two

On Hamiltonian elliptic systems with exponential growth in dimension two

In this work we study the existence of nontrivial weak solutions for some Hamiltonian elliptic systems in dimension two, involving a potential function and nonlinearities which possess maximal growth with respect to a critical curve (hyperbola). We consider four different cases. First, we study...

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Bibliographic Details
Main Author: Yony Raúl Santaria Leuyacc
Other Authors: Sérgio Henrique Monari Soares
Language:English
Published: Universidade de São Paulo 2017
Subjects:
Crescimento exponencial
Desigualdade de Trudinger - Moser
Espaços de Lorent-Sobolev
Métodos variacionais
Sistemas hamiltonianos
Exponential growth
Hamiltonian systems
Lorentz-Sobolev spaces
Trudinger-Moser inequality
Variational methods
Online Access:http://www.teses.usp.br/teses/disponiveis/55/55135/tde-02082017-150001/

Internet

http://www.teses.usp.br/teses/disponiveis/55/55135/tde-02082017-150001/

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