Global bifurcations of concave semipositone problems

We study semilinear elliptic equations on general bounded domains with concave semipositone nonlinearities. We prove the existence of the maximal solutions, and describe the global bifurcation diagrams. When a parameter is small, we obtain the exact global bifurcation diagram. We also discuss the related symmetry breaking bifurcation when the domains have certain symmetries.

• Publication year

  2019

• Venue

  Evolution Equations

• Publication date

  2019-04-24

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1201/9780429187599-27
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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