Multiple solutions for a modified Kirchhoff‐type equation in RN

DOI10.1002/mma.3102zbMath1319.35040OpenAlexW2037696230MaRDI QIDQ5177010

Zonghong Feng, Hong-Xu Li, Xian Wu

Publication date: 5 March 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3102

zbMATH Keywords

perturbation approachhigh energy solutionsmodified Kirchhoff-type equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Existence of solutions for modified Kirchhoff-type equation without the Ambrosetti-Rabinowitz condition ⋮ Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity ⋮ Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential ⋮ Dynamic analysis of oil‐water two‐phase flow for a multiple‐fractured horizontal well with multiple finite‐conductivity fractures in triple media carbonate reservoir ⋮ Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments ⋮ Infinitely many sign-changing solutions for modified Kirchhoff-type equations in ℝ³

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