MULTIPLE SOLUTIONS FOR A KIRCHHOFF EQUATION WITH NONLINEARITY HAVING ARBITRARY GROWTH

DOI10.1017/S0004972717000144zbMath1375.35128MaRDI QIDQ4975598

Marcelo F. Furtado, Henrique R. Zanata

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

variational methodKirchhoff equationinfinitely many solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities ⋮ Multiple ordered solutions for a class of elliptic problems involving fast increasing weights and nonlinearity with zeros ⋮ Infinitely many solutions for indefinite Kirchhoff equations and Schrödinger-Poisson systems ⋮ Multiple solutions for an equation with weights and a nonlinearity with arbitrary growth ⋮ Solutions for a Kirchhoff equation with critical Caffarelli-Kohn-Nirenberg growth and discontinuous nonlinearity

Cites Work

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• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Elliptic Partial Differential Equations of Second Order
• Existence of Positive Solutions for Kirchhoff Type Problems with Critical Exponent
• Nonlinear boundary value problems with concave nonlinearities near the origin

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