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Ann. Inst. H. Poincaré Anal. Non Linéaire, 2014, Volume 31, Issue 1, Pages 103–128 (Mi aip1)  

Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs

S. Bolotinab, P. H. Rabinowitza

a Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706, United States
b Steklov Mathematical Institute, Moscow, Russian Federation

Abstract: Variational gluing arguments are employed to construct new families of solutions for a class of semilinear elliptic PDEs. The main tools are the use of invariant regions for an associated heat flow and variational arguments. The latter provide a characterization of critical values of an associated functional. Among the novelties of the paper are the construction of “hybrid” solutions by gluing minima and mountain pass solutions and an analysis of the asymptotics of the gluing process.

Funding Agency Grant Number
Russian Foundation for Basic Research 12-01-00441
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Supported by the Programme “Dynamical Systems and Control Theory” of Russian Academy of Science and by RFBR grant #12-01-00441.


DOI: https://doi.org/10.1016/j.anihpc.2013.02.003


Bibliographic databases:

Document Type: Article
Received: 08.02.2012
Revised: 15.02.2013
Accepted:15.02.2013
Language: English

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