Existence and multiplicity results for a class of Kirchhoff–Choquard equations with a generalized sign-changing potential

  • Eduardo de S. Böer

    Universidade Federal de São Carlos, Brazil
  • Olímpio H. Miyagaki

    Universidade Federal de São Carlos, Brazil
  • Patrizia Pucci

    Università degli Studi di Perugia, Italy
Existence and multiplicity results for a class of Kirchhoff–Choquard equations with a generalized sign-changing potential cover

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Abstract

In the present work, we are concerned with the Kirchhoff–Choquard-type equation

for given by , , a sign-changing and possible unbounded potential, a continuous external potential, and a nonlinearity with exponential critical growth. We prove existence and multiplicity of solutions in the nondegenerate case and guarantee the existence of solutions in the degenerate case.

Cite this article

Eduardo de S. Böer, Olímpio H. Miyagaki, Patrizia Pucci, Existence and multiplicity results for a class of Kirchhoff–Choquard equations with a generalized sign-changing potential. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 3, pp. 651–675

DOI 10.4171/RLM/984