Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity

  • Rupert L. Frank

    Ludwig-Maximilians-Universität München, Germany and California Institute of Technology, Pasadena, USA
  • Tobias König

    Ludwig-Maximilians-Universität München, Germany
Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity cover

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Abstract

We consider positive solutions of the semilinear biharmonic equation in with non-removable singularities at the origin. Under natural assumptions on the nonlinearity , we show that is a periodic function of and we classify all such solutions.

Cite this article

Rupert L. Frank, Tobias König, Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 4, pp. 817–846

DOI 10.4171/RLM/871