Bubble solutions for an elliptic problem with critical growth in exterior domain

DOI10.1016/J.NA.2014.08.007zbMath1317.35243OpenAlexW2052665544MaRDI QIDQ2349061

Shusen Yan, Wei, Juncheng

Publication date: 16 June 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.08.007

zbMATH Keywords

elliptic equationscritical Sobolev exponentbubbling solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Positive solutions to PDEs (35B09)

Related Items (1)

Two positive solutions for quasilinear elliptic equations with singularity and critical exponents

Cites Work

• Best Sobolev constants and Emden equations for the critical exponent in \(S^3\)
• An elliptic problem with critical growth in domains with shrinking holes.
• Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. I: \(N=3\)
• Elliptic equations with critical exponent on \(S^3\): new non-minimising solutions
• Arbitrary many boundary peak solutions for an elliptic Neumann problem with critical growth
• Elliptic equations with critical exponent on spherical caps of \(S^{3}\)
• Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. II: \(N\geqslant 4\)
• On the Brezis--Nirenberg problem on \(S^3\), and a conjecture of Bandle--Benguria
• Multiple Clustered Layer Solutions for Semilinear Elliptic Problems onSⁿ
• The Brézis-Nirenberg problem on \(\mathbb{S}^3\)

This page was built for publication: Bubble solutions for an elliptic problem with critical growth in exterior domain