The effects of spatial heterogeneities on some multiplicity results

Julián López-Gómez; Paul H. Rabinowitz

doi:10.3934/dcds.2016.36.941

Article Contents

2016, Volume 36, Issue 2: 941-952. Doi: 10.3934/dcds.2016.36.941

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The effects of spatial heterogeneities on some multiplicity results

Julián López-Gómez^1, and
Paul H. Rabinowitz^2,

1.
Department of Applied Mathematics, Complutense University of Madrid, Madrid, 28040
2.
Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706

Received: June 2014

Revised: October 2014

Published: May 2017

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Abstract

In [10], using a Theorem of Clark and in [1] several multiplicity results were obtained for families of semilinear elliptic partial differential equations. Here these results are extended so as to include more general spatially heterogeneous models arising in population dynamics. The optimality of the general assumptions imposed to get some of these multiplicity results is also analyzed.

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Mathematics Subject Classification: Primary: 35J15, 35A15; Secondary: 35B38, 35B36.

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References

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