30 citations · 220 across the 48 of their papers we have counts for
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Blow-up analysis and existence results in the supercritical case for an asymmetric mean field equation with variable intensities
Aleks Jevnikar
A class of equations with exponential nonlinearities on a compact Riemannian surface is considered. More precisely, we study an asymmetric sinh-Gordon problem arising as a mean fie…
A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects
Aleks Jevnikar, Wen Yang
We are concerned with an elliptic problem which describes a mean field equation of the equilibrium turbulence of vortices with variable intensities. In the first part of the paper…
Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results
Aleks Jevnikar, Wen Yang
We are concerned with the following class of equations with exponential nonlinearities: $$ Δu+h_1e^u-h_2e^{-2u}=0 \qquad \mbox{in } B_1\subset\mathbb{R}^2, $$ which is related to t…
On the Topological degree of the Mean field equation with two parameters
Aleks Jevnikar, Juncheng Wei, Wen Yang
We consider the following class of equations with exponential nonlinearities on a compact surface : $$ - Δu = ρ_1 \left( \frac{h_1 \,e^{u}}{\int_M h_1 \,e^{u} } - \frac{1}{|M|}…
Classification of blow-up limits for the sinh-Gordon equation
Aleks Jevnikar, Juncheng Wei, Wen Yang
The aim of this paper is to use a selection process and a careful study of the interaction of bubbling solutions to show a classification result for the blow-up values of the ellip…