Hénon equation involving nearly critical Sobolev exponent in a general domain

DOI10.2422/2036-2145.201908_011zbMath1479.35466OpenAlexW3037326906MaRDI QIDQ5161603

Benniao Li, Aliang Xia, Yuke He, Wei Long

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201908_011

zbMATH Keywords

Dirichlet problemexistenceHénon equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Qualitative analysis of single peaked solutions for the supercritical Hénon problem ⋮ Qualitative analysis to an eigenvalue problem of the Hénon equation

Cites Work

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• Infinitely many nonradial solutions for the Hénon equation with critical growth
• Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem.
• Supercritical elliptic problem with nonautonomous nonlinearities
• On the Hénon equation: asymptotic profile of ground states. I.
• Multi-peak solutions for the Hénon equation with slightly subcritical growth
• Infinitely many double-boundary-peak solutions for a Hénon-like equation with critical nonlinearity
• Solutions with large number of peaks for the supercritical Hénon equation
• Proof of two conjectures of H. Brezis and L. A. Peletier
• Asymptotic behavior on the Hénon equation with supercritical exponent
• Partial symmetry and asymptotic behavior for some elliptic variational problems
• Sign-changing bubble tower solutions for the supercritical Hénon-type equations
• 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 location of a peak point of a least energy solution for Hénon equation
• Multiple boundary concentrating solutions to Dirichlet problem of Hénon equation
• Nonradial solutions for the Hénon equation in \(\mathbb R^N\)
• 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
• Asymptotic behaviour of ground state solutions for the Henon equation
• SYMMETRY BREAKING RESULTS FOR PROBLEMS WITH EXPONENTIAL GROWTH IN THE UNIT DISK
• Singularly Perturbed Methods for Nonlinear Elliptic Problems
• Boundary concentrating solutions for a Hénon-like equation
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS

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