Advances in Differential Equations

Multipeak solutions for a nonlinear Neumann problem in exterior domains

Shusen Yan

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We prove the existence of multipeak positive solutions for an elliptic Neumann problem in exterior domains involving nearly critical Sobolev exponent.

Article information

Adv. Differential Equations, Volume 7, Number 8 (2002), 919-950.

First available in Project Euclid: 27 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B25: Singular perturbations 35B33: Critical exponents 35J65: Nonlinear boundary value problems for linear elliptic equations 47J30: Variational methods [See also 58Exx] 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)


Yan, Shusen. Multipeak solutions for a nonlinear Neumann problem in exterior domains. Adv. Differential Equations 7 (2002), no. 8, 919--950.

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