Yanyan Li & Zhi-Qiang Wang
Abstract:
In the last decade or so, variational gluing methods have been
widely used to construct homoclinic and heteroclinic
type solutions of nonlinear
elliptic equations and Hamiltonian systems.
This note is concerned with the procedure of gluing
mountain-pass type solutions.
The first procedure to glue mountain-pass type solutions
was developed through the work of Sere, and Coti Zelati -
Rabinowitz. This procedure and its variants
have been extensively used in many problems by now for nonlinear
equations with superlinear nonlinearities.
In this note we provide an alternative device
to the by now standard procedure
which allows us to glue minimizers on the Nehari
manifold together as genuine, multi-bump type, solutions.
Published January 8, 2001.
Math Subject Classifications: 35J20, 58E05.
Key Words: luing, variational, minimax.
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Zhi-Qiang Wang
Department of Mathematics,
Utah State University
Logan, UT 84322 USA
e-mail: wang@sunfs.math.usu.edu