The existence of nontrivial solutions for $\boldsymbol{p}$-Kirchhoff type equations with critical exponent in $\boldsymbol{\mathbb{R}^{N}}$

DOI10.1360/N012017-00142zbMath1499.35270OpenAlexW2917099245MaRDI QIDQ5064055

Yahui Niu, Gongbao Li

Publication date: 21 March 2022

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/n012017-00142

zbMATH Keywords

mountain pass theoremEkeland variational principlenontrivial solutionscritical nonlinearity\(p\)-Kirchhoff equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (2)

Nontrivial solutions for a class of \(p\)-Kirchhoff Dirichlet problem ⋮ Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory

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