The existence and local uniqueness of multi-peak positive solutions to a class of Kirchhoff equation

DOI10.1007/s10473-020-0107-yzbMath1499.35271OpenAlexW3006328803MaRDI QIDQ2151090

Gongbao Li, Yahui Niu

Publication date: 30 June 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-020-0107-y

zbMATH Keywords

Lyapunov-Schmidt reductionlocal uniquenessKirchhoff equationslocal Pokhozhaev identitymulti-peak positive solutions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items (5)

Positive solutions of a nonlocal and nonvariational elliptic problem ⋮ Positive solutions for a Kirchhoff equation with perturbed source terms ⋮ Three solutions for a new Kirchhoff-type problem ⋮ The third solution for a Kirchhoff-type problem with a critical exponent ⋮ A Hopf type lemma and the symmetry of solutions for a class of Kirchhoff equations

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