Multiplicity of Positive Radial Solutions to a Higher Dimensional Scalar-Field Equation Involving the Critical Sobolev Exponent under the Robin Condition

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概要

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• The multiplicity of radial solutions to a higher dimensional scalar-field equation with the Robin condition is discussed. Unlike our previous results, multiplicity of positive solutions is obtained near λ = 0. Moreover, one solution has a blowing-up behavior and the other is uniformly bounded. A key point is the transformation of the original problem to the exterior Neumann problem and the so-called openness argument.

• 日本数学会函数方程式論分科会の論文

著者

• Morishita Hiroshi

  Hyogo University

• Kabeya Yoshitsugu

  Osaka Prefecture University

関連論文

• Multiplicity of Positive Radial Solutions to a Higher Dimensional Scalar-Field Equation Involving the Critical Sobolev Exponent under the Robin Condition

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