JournalsrlmVol. 27, No. 4pp. 413–429

On the existence and blow-up of solutions for a mean field equation with variable intensities

  • Tonia Ricciardi

    Università degli Studi di Napoli Federico II, Italy

  • Ryo Takahashi

    Nara University of Education, Nara-Shi, Japan

  • Gabriella Zecca

    Università degli Studi di Napoli Federico II, Italy

  • Xiao Zhang

    Osaka University, Japan
On the existence and blow-up of solutions for a mean field equation with variable intensities cover
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Abstract

We study an elliptic problem with exponential nonlinearities describing the statistical mechanics equilibrium of point vortices with variable intensities. For suitable values of the physical parameters we exclude the existence of blow-up points on the boundary, we prove a mass quantization property and we apply our analysis to the construction of minimax solutions.

Cite this article

Tonia Ricciardi, Ryo Takahashi, Gabriella Zecca, Xiao Zhang, On the existence and blow-up of solutions for a mean field equation with variable intensities. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 27 (2016), no. 4, pp. 413–429

DOI 10.4171/RLM/741