Study on existence of solutions for \(p\)-Kirchhoff elliptic equation in \(\mathbb{R}^{N}\) with vanishing potential

DOI10.1007/S10883-014-9244-5zbMath1307.35042OpenAlexW2150658324MaRDI QIDQ2260472

Lihua Liu, Caisheng Chen

Publication date: 10 March 2015

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-014-9244-5

zbMATH Keywords

variational methodsmultiple solutions\(p\)-Kirchhoff elliptic equationNehari manifold and fibering maps

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Multiple solutions for the asymptotically linear Kirchhoff type equations on \(\mathbb{R}^N\) ⋮ On a nonlocal elliptic system of Hardy‐Kirchhoff type with critical exponents ⋮ Existence of positive solutions for a class of Kirchhoff type equations in \(\mathbb{R}^3\) ⋮ Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities

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