Elves A. B. Silva, Maxwell L. Silva
Abstract:
We consider the superlinear elliptic problem
in a bounded smooth domain under Neumann boundary conditions,
where
,
and
is a sign changing function.
Assuming that the associated first eigenvalue of the operator
is zero, we use constrained minimization methods to
study the existence of a positive solution when
is a suitable perturbation of m.
Submitted August 12, 2011. Published October 24, 2013.
Math Subject Classifications: 35J20, 35J60, 35Q55.
Key Words: Positive solution; constrained minimization; eigenvalue problem;
Neumann boundary condition; unique continuation.
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Elves A. B. Silva Universidade de Brasília Departamento de Matemática Cep 70 910 900, Brasília-DF, Brazil email: elves@unb.br | |
Maxwell L. Silva Universidade Federal de Goiás Instituto de Matemática e Estatística Cep 74 001 970, Goiania-GO, Brazil email: maxwell@mat.ufg.br |
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