Existence of positive solutions for the Hénon equation involving critical Sobolev terms

DOI10.1016/j.jde.2009.06.008zbMath1176.35083OpenAlexW2076620302MaRDI QIDQ833289

Norimichi Hirano

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.06.008

zbMATH Keywords

semilinear elliptic problemHénon equationcritical Sobolev terms

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20)

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Cites Work

• Unnamed Item
• Unnamed Item
• On the Hénon equation: asymptotic profile of ground states. I.
• Multi-peak solutions for the Hénon equation with slightly subcritical growth
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• The asymptotic behaviour of the ground state solutions for 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
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS

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