Multiple solutions for a Kirchhoff equation with critical growth

DOI10.1007/s00033-018-1045-3zbMath1409.35079OpenAlexW2903435808WikidataQ128851218 ScholiaQ128851218MaRDI QIDQ1756076

Marcelo F. Furtado, Luan D. de Oliveira, João Pablo P. da Silva

Publication date: 11 January 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-1045-3

zbMATH Keywords

multiple solutionscritical nonlinearitiesKirchhoff-type problems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (13)

Multiplicity of solutions for a class of Kirchhoff type equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ Multiple solutions for a class of quasilinear Schrödinger-Poisson system in \(\mathbb{R}^3\) with critical nonlinearity and zero mass ⋮ Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term ⋮ Existence and multiplicity of solutions to N-Kirchhoff equations with critical exponential growth and a perturbation term ⋮ On the critical Kirchhoff problems with super-linear nonlinearities and variable potentials ⋮ Kirchhoff type elliptic equations with double criticality in Musielak–Sobolev spaces ⋮ Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term ⋮ Multiplicity of nontrivial solutions for p‐Kirchhoff type equation with Neumann boundary conditions ⋮ Multiple solutions for a critical Kirchhoff system ⋮ Unnamed Item ⋮ The existence of least energy and high energy solutions to the Kirchhoff type problem in high dimensions ⋮ Existence and multiplicity of solutions for a Kirchhoff system with critical growth ⋮ Ground state solutions for asymptotically periodic nonlinearities for Kirchhoff problems

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