Solutions with large number of peaks for the supercritical Hénon equation

DOI10.2140/pjm.2016.280.115zbMath1333.35065OpenAlexW2235315936MaRDI QIDQ901322

Shuangjie Peng, ZhongYuan Liu

Publication date: 11 January 2016

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2016.280.115

zbMATH Keywords

reduction methodpeak solutionssupercritical Hénon equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items (18)

Non-power type perturbation for the critical Hénon problem ⋮ Sign-changing solutions at the almost Hénon critical exponent ⋮ Qualitative analysis of single peaked solutions for the supercritical Hénon problem ⋮ Sign-changing bubble tower solutions for the supercritical Hénon-type equations ⋮ A new perturbation to a critical elliptic problem with a variable exponent ⋮ Concentrating solutions for a biharmonic problem with supercritical growth ⋮ Sign-changing bubble tower solutions for a supercritical elliptic problem with the Hénon term ⋮ Asymptotic non-degeneracy of the multipeak solution for the supercritical Hénon equation ⋮ Qualitative analysis to an eigenvalue problem of the Hénon equation ⋮ Ground state solution for a class of supercritical Hénon equation with variable exponent ⋮ Bubble solutions for Hénon type equation with nearly critical exponent in \(\mathbb{R}^N\) ⋮ Asymptotic behaviour of ground state solutions for the fractional Hénon equation ⋮ Nodal solutions for a supercritical semilinear problem with variable exponent ⋮ Hénon equation involving nearly critical Sobolev exponent in a general domain ⋮ Nonradial solutions for the Hénon equation close to the threshold ⋮ Construction of solutions for Hénon-type equation with critical growth ⋮ Bubble tower phenomena for an almost critical Hénon type problem ⋮ Bubble solutions for a supercritical polyharmonic Hénon-type equation

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