Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents

Shusen Yan; Jianfu Yang

doi:10.1007/s00526-012-0563-7

Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents

Shusen Yan
, Jianfu Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

We consider the following problem... We prove that if N ≥ 7, a(0) > 0 and all the principle curvatures of ∂Ω at 0 are negative, then the above problem has infinitely many solutions.

Original language	English
Pages (from-to)	587-610
Journal	Calculus of Variations and Partial Differential Equations
Volume	48
Issue number	3-4
DOIs	https://doi.org/10.1007/s00526-012-0563-7
Publication status	Published - 2013

Keywords

Partial Differential Equations

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https://hdl.handle.net/1959.11/13862

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title = "Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents",

abstract = "We consider the following problem... We prove that if N ≥ 7, a(0) > 0 and all the principle curvatures of ∂Ω at 0 are negative, then the above problem has infinitely many solutions.",

keywords = "Partial Differential Equations",

author = "Shusen Yan and Jianfu Yang",

year = "2013",

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language = "English",

volume = "48",

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journal = "Calculus of Variations and Partial Differential Equations",

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AU - Yan, Shusen

AU - Yang, Jianfu

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N2 - We consider the following problem... We prove that if N ≥ 7, a(0) > 0 and all the principle curvatures of ∂Ω at 0 are negative, then the above problem has infinitely many solutions.

AB - We consider the following problem... We prove that if N ≥ 7, a(0) > 0 and all the principle curvatures of ∂Ω at 0 are negative, then the above problem has infinitely many solutions.

KW - Partial Differential Equations

U2 - 10.1007/s00526-012-0563-7

DO - 10.1007/s00526-012-0563-7

M3 - Article

SN - 0944-2669

VL - 48

SP - 587

EP - 610

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3-4

ER -

Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents

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Keywords

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