The number of positive solutions affected by the weight function to Kirchhoff type equations in high dimensions

DOI10.1016/J.NA.2020.111780zbMath1437.35027OpenAlexW3005373710MaRDI QIDQ1988398

Juntao Sun, Jian Zhang, Tsung-fang Wu

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111780

zbMATH Keywords

multiple positive solutionsbarycenter mapfiltration of Nehari manifold

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09)

Related Items (6)

On the multiplicity and concentration of positive solutions to a Kirchhoff-type problem with competing potentials ⋮ On the effect of space dimension and potential on the multiplicity of positive and nodal solutions for Kirchhoff equations ⋮ On a class of Kirchhoff type logarithmic Schrödinger equations involving the critical or supercritical Sobolev exponent ⋮ Multiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functions ⋮ The effect of the weight function on the number of nodal solutions of the Kirchhoff-type equations in high dimensions ⋮ Multiple positive solutions for a class of Kirchhoff equation on bounded domain

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