| 科研成果 |
<ol>
<li>8. X. Du and Y. Li*, Monotonicity and symmetry for cylindrical fully nonlinear equations on the Heisenberg group. Preprint.</li>
<li>7. X. Du and H. Yang*, Asymptotic expansions for conformal scalar curvature equations near isolated singularities. <i>Calc. Var. Partial Differential Equations</i> <b>65</b> (2026), no. 5, Paper No. 168, 39 pp.</li>
<li>6. X. Du, T. Jin, J. Xiong* and H. Yang, A survey of the isolated singularity problems for the Yamabe equation (in Chinese). <i>Sci. Sin. Math.</i> <b>55</b> (2025), no. 5, 1029-1058.</li>
<li>5. X. Du, T. Jin*, J. Xiong and H. Yang, Blow up limits of the fractional Laplacian and their applications to the fractional Nirenberg problem. <i>Proc. Amer. Math. Soc.</i> <b>151</b> (2023), no. 11, 4693-4701.</li>
<li>4. X. Du, T. Jin and H. Yang*, Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels. <i>J. Geom. Anal.</i> <b>33</b> (2023), no. 9, Paper No. 286, 21 pp.</li>
<li>3. X. Du and H. Yang*, A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent. <i>Sci. China Math.</i> <b>66</b> (2023), no. 9, 1965-1992.</li>
<li>2. X. Du and H. Yang*, Local behavior of positive solutions of higher order conformally invariant equations with a singular set. <i>Calc. Var. Partial Differential Equations</i> <b>60</b> (2021), no. 6, Paper No. 204, 35 pp.</li>
<li>1. X. Du* and H. Yang, Large singular solutions for conformal <i>Q</i>-curvature equations on <i>S^n</i>. <i>J. Differential Equations</i> <b>280</b> (2021), 618-643.</li>
</ol> |
科研项目 |
<ol>
<li>国家自然科学基金青年科学基金项目（C类），半线性椭圆方程奇异解的性质研究，30.00万元，2026年01月至2028年12月，在研，主持</li>
</ol> |
