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A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions

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Abstract

For a class of semilinear elliptic systems, the existence of a broader class of multibump solutions is established under considerably weaker conditions than in earlier works. The key tool is the use of variational methods.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Civile, Edile e Architettura, Università Politecnica delle Marche, Via brecce bianche, 60131, Ancona, Italy

    Piero Montecchiari

  2. Department of Mathematics, University of Wisconsin-Madison, Madison, WI, 53706, USA

    Paul H. Rabinowitz

Authors
  1. Piero Montecchiari
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  2. Paul H. Rabinowitz
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Correspondence to Paul H. Rabinowitz.

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Communicated by A. Malchiodi.

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Montecchiari, P., Rabinowitz, P.H. A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions. Calc. Var. 60, 122 (2021). https://doi.org/10.1007/s00526-021-01987-7

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