Non-even least energy solutions of the Emden-Fowler equation

DOI10.1090/S0002-9939-2011-11172-9zbMath1248.34023MaRDI QIDQ5389395

Ryuji Kajikiya

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

variational methodEmden-Fowler equationleast energy solutionnon-even positive solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (13)

Nonradial least energy solutions of the \(p\)-Laplace elliptic equations ⋮ Morse index and symmetry-breaking for positive solutions of one-dimensional Hénon type equations ⋮ Least energy solutions of the generalized Hénon equation in reflectionally symmetric or point symmetric domains ⋮ Symmetry-breaking bifurcation for the one-dimensional Hénon equation ⋮ Non-radial least energy solutions of the generalized Hénon equation ⋮ Symmetry-breaking bifurcation for the Moore-Nehari differential equation ⋮ Global solution curves for self-similar equations ⋮ Existence of nodal solutions for the sublinear Moore-Nehari differential equation ⋮ Three positive solutions of the one-dimensional generalized Hénon equation ⋮ Non-even positive solutions of the one-dimensional \(p\)-Laplace Emden-Fowler equation ⋮ Nonradial positive solutions of the p-Laplace Emden-Fowler equation with sign-changing weight ⋮ Least Energy Solutions and Group Invariant Solutions of the Hénon Equation ⋮ The Nehari solutions and asymmetric minimizers

Cites Work

• Unnamed Item
• Uniqueness and nonuniqueness of nodal radial solutions of sublinear elliptic equations in a ball
• Existence of positive solutions for the Hénon equation involving critical Sobolev terms
• On the Hénon equation: asymptotic profile of ground states. I.
• Multi-peak solutions for the Hénon equation with slightly subcritical growth
• Concentrating solutions for the Hénon equation in \(\mathbb R^{2}\)
• Dual variational methods in critical point theory and applications
• An identity for a quasilinear ODE and its applications to the uniqueness of solutions of BVPs
• On the Hénon equation: asymptotic profile of ground states. II
• Non radial positive solution for the Hénon equation with critical growth
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• Nonoscillation Theorems For a Class of Nonlinear Differential Equations
• Remarks on sublinear elliptic equations

This page was built for publication: Non-even least energy solutions of the Emden-Fowler equation