Existence of multiple nontrivial solutions for a \(p\)-Kirchhoff type elliptic problem involving sign-changing weight functions

DOI10.3934/dcdsb.2016.21.883zbMath1333.35024OpenAlexW2526813830MaRDI QIDQ908164

Ming Mei, Yuanxiao Li, Kai-Jun Zhang

Publication date: 3 February 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.883

zbMATH Keywords

Ekeland variational principleNehari manifoldsign-changing weight functions\(p\)-Kirchhoff type equationtruncation argument

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items

Existence and multiplicity of positive solutions to a \(p\)-Kirchhoff-type equation, On the critical \(p\)-Kirchhoff equation, Multiplicity of positive solutions for a class of \(p\)-Kirchhoff equation with critical exponent, Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term, Existence and multiplicity of positive solutions for \(p\)-Kirchhoff type problem with singularity, New class of sixth-order nonhomogeneous \(p(x)\)-Kirchhoff problems with sign-changing weight functions, Existence of multiple positive solutions for a \(p\)-Kirchhoff problem with singular nonlinearity

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