The Brezis–Nirenberg Problem for the Hénon Equation: Ground State Solutions

DOI10.1515/ANS-2012-0209zbMath1255.35118arXiv1201.3736OpenAlexW2964192454MaRDI QIDQ3166046

Simone Secchi

Publication date: 21 October 2012

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3736

zbMATH Keywords

critical exponentground stateNehari manifoldHénon equation

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Radial solutions for a class of Hénon type systems with partial interference with the spectrum ⋮ Positive solutions of Kirchhoff-hénon type elliptic equations with critical Sobolev growth ⋮ Ground state solution for a class of supercritical Hénon equation with variable exponent ⋮ Asymptotic behaviour of ground state solutions for the fractional Hénon equation

Cites Work

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• Partial symmetry of least energy nodal solutions to some variational problems
• Existence of positive solutions for the Hénon equation involving critical Sobolev terms
• Ground state solutions for some indefinite variational problems
• A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)
• Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations
• Partial symmetry and asymptotic behavior for some elliptic variational problems
• Multiple solutions for the Brezis-Nirenberg problem
• Non radial positive solution for the Hénon equation with critical growth
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION

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