Infinitely many double-boundary-peak solutions for a Hénon-like equation with critical nonlinearity

DOI10.1016/j.jde.2015.08.044zbMath1323.35006OpenAlexW1425947293MaRDI QIDQ888205

Shuangjie Peng, ZhongYuan Liu

Publication date: 4 November 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.08.044

zbMATH Keywords

reduction methoddouble-boundary-peak solutionsHénon-like equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (3)

Qualitative analysis of single peaked solutions for the supercritical Hénon problem ⋮ Asymptotic behaviour of ground state solutions for the fractional Hénon equation ⋮ Hénon equation involving nearly critical Sobolev exponent in a general domain

Cites Work

• Unnamed Item
• Infinitely many nonradial solutions for the Hénon equation with critical growth
• Supercritical elliptic problem with nonautonomous nonlinearities
• 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
• Multiple solutions for a Hénon-like equation on the annulus
• Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
• Asymptotic behavior on the Hénon equation with supercritical exponent
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• The asymptotic behaviour of the ground state solutions for Hénon equation.
• Multiple boundary concentrating solutions to Dirichlet problem of Hénon equation
• 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
• Asymptotic behaviour of ground state solutions for the Henon equation
• Boundary concentrating solutions for a Hénon-like equation
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS

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