Um problema do tipo ambrosetti-prodi para um sistema de equações elipticas
TESE
Português
T/UNICAMP M792p
Campinas, SP : [s.n.], 1994.
[75]f. : il.
Orientador: Djairo Guedes de Figueiredo
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Ciencia da Computação
Resumo: Não informado
Abstract: In Chapter 1 we consider the following system of semilinear elliptic equations:
LU = F(x, U) + T? + H(x),
U = 0,
where l = diag (L, L), T E 2, L is a 2nd order elliptic operator in the divergent form, H is a fixed vector-function in C?(?) x C?(?) and <P~ is a positive...
Abstract: In Chapter 1 we consider the following system of semilinear elliptic equations:
LU = F(x, U) + T? + H(x),
U = 0,
where l = diag (L, L), T E 2, L is a 2nd order elliptic operator in the divergent form, H is a fixed vector-function in C?(?) x C?(?) and <P~ is a positive eigenfunction of ?'1 the dual operator of L. Using the Monotonic Iteration Method and Degree Theory, we find a curve r that splits the plane into two disjoint unbounded domains E and N ( 2 = E U N U ) such that: ... Note: The complete abstract is available with the full electronic digital thesis or dissertations