A nondegeneracy condition for a semilinear elliptic system and the existence of 1- bump solutions

Piero Montecchiari; Paul H. Rabinowitz

doi:10.3934/dcds.2019241

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2019, Volume 39, Issue 12: 6995-7012. Doi: 10.3934/dcds.2019241

This issue Previous Article The method of energy channels for nonlinear wave equations Next Article Remarks on some minimization problems associated with BV norms

A nondegeneracy condition for a semilinear elliptic system and the existence of 1- bump solutions

Piero Montecchiari^1, and
Paul H. Rabinowitz^2, ,

1.
Dipartimento di Ingegneria Civile, Edile e Architettura, Università Politecnica delle Marche, Via brecce bianche, Ancona, I-60131, Italy
2.
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin, 53706, USA

^* Corresponding author: Paul H. Rabinowitz
^* Corresponding author: Paul H. Rabinowitz

Received: September 30, 2018

Revised: February 28, 2019

Published: September 2019

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Abstract

Combining situations originally considered in [7] - [8], a semilinear elliptic system is treated and a nondegeneracy condition leading to the existence of multibump solutions is considerably weakened.

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Mathematics Subject Classification: Primary: 35J50, 35J47; Secondary: 35J57, 34C37.

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References

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