Sign-changing bubble tower solutions for the supercritical Hénon-type equations

DOI10.1007/s10231-017-0722-8zbMath1403.35108OpenAlexW2780120122MaRDI QIDQ1663356

Shuangjie Peng, ZhongYuan Liu, Dao-Min Cao

Publication date: 21 August 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-017-0722-8

zbMATH Keywords

Dirichlet problemHénon-type equationsign-changing bubble tower solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations (35J61)

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Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications ⋮ Non-power type perturbation for the critical Hénon problem ⋮ Qualitative analysis of single peaked solutions for the supercritical Hénon problem ⋮ On some weighted fourth-order equations ⋮ On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II ⋮ Bubble solutions for Hénon type equation with nearly critical exponent in \(\mathbb{R}^N\) ⋮ Nodal solutions for a supercritical semilinear problem with variable exponent ⋮ Hénon equation involving nearly critical Sobolev exponent in a general domain ⋮ Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem ⋮ Bubble tower phenomena for an almost critical Hénon type problem ⋮ Multiple solutions to weakly coupled supercritical elliptic systems ⋮ Some weighted fourth-order Hardy-Hénon equations ⋮ A class of supercritical Sobolev type inequalities with logarithm and related elliptic equations

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