Abstract. In this paper, we construct stationary classical solutions of the incompressible Euler equation approximating singular stationary solutions of this equation. This procedure is carried out by constructing solutions to the following elliptic problem

The aim of this paper is to show the existence of infinitely many concentration solutions for the fractional Nirenberg problem under the condition that Qs curvature has a sequence of strictly local maximum points moving to infinity.

In this paper, we study the Paneitz curvature problemΔwhere

In this paper, we study the critical Hénon problem with non-power type perturbation. We use the reduction argument to construct a family of bubbling solutions concentrating at the origin without any condition on the Robin function. It is well-known that the Robin function plays an essential role in the existence of bubbling solutions for critical elliptic problems.

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