Published papers ane preprints:

(i) Nonlocal and Higher order PDEs

1. Ao, Weiwei; Lai, Shanshan; Luo, Senping; Classification of finite Morse index solutions to the polyharmonic Hénon equation. Calc. Var. Partial Differential Equations 62 (2023), no. 1, Paper No. 19.

2. Ao, Weiwei; González, María del Mar; Hyder, Ali; Wei, Juncheng; Removability of singularities and superharmonicity for some fractional Laplacian equations, Indiana Univ. Math. J. 71 (2022), no. 2, 735–766.

3. Ao, Weiwei; DelaTorre, Azahara; González, María del Mar； Symmetry and symmetry breaking for the fractional Caffarelli-Kohn-Nirenberg inequality. J. Funct. Anal. 282 (2022), no. 11, Paper No. 109438, 58 pp.

4. Ao, Weiwei; Liu, Chao; Wang, Liping； Fast and slow decay solutions for supercritical fractional elliptic problems in exterior domains. Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 1, 28–53.

5. Ao, Weiwei; DelaTorre, Azahara; Gonzalez, Maria del Mar; Wei, Juncheng ; A gluing approach for the fractional Yamabe problem with isolated singularities, J. Reine Angew. Math., 2020, 763(1): 25-78

6. Ao, Weiwei; Chan, Hardy; DelaTorre, Azahara; Fontelos, Marco A.; González, María del Mar; Wei, Juncheng; ODE methods in non-local equations. J. Math. Study 53 (2020), no. 4, 370–401.

7. Ao, Weiwei; González, María del Mar; Sire, Yannick; Boundary connected sum of Escobar manifolds. J. Geom. Anal. 30 (2020), no. 4, 4092–4109.

8. Ao, Weiwei; Chan, Hardy; González, María del Mar; Wei, Juncheng; Bound state solutions for the supercritical fractional Schrodinger equation. Nonlinear Anal. 193 (2020), 111448, 21 pp.

9. Ao, Weiwei; Chan, Hardy; Delatorre, Azahara; Fontelos, Marco A; del Mar Gonzalez, Maria;Wei, Juncheng ; On higher-dimensional singularities for the fractional Yamabe problem: A nonlocal Mazzeo-Pacard problem, Duke Mathematical Journal, 2019, 168(17): 3297-3411

10. Ao, Weiwei; Chan, Hardy; González, María del Mar; Wei, Juncheng; Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets. Calc. Var. Partial Differential Equations 57 (2018), no. 6, Paper No. 149, 25 pp.

(ii) Chern-Simons system and related problem

1. Ao, Weiwei; Jevnikar, Aleks; Yang, Wen; Blow up solutions for Sinh-Gordon equation with residual mass. Calc. Var. 61, 209 (2022). 
2. Ao, Weiwei; Kwon, Ohsang; Lee, Youngae; Multi-bubbling condensates for the Maxwell-Chern-Simons model. Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 34, 19 pp.
3. Ao, Weiwei; Kwon, Ohsang; Lee, Youngae ; Periodic Maxwell-Chern-Simons vortices with concentrating property, Math. Ann. 381 (2021), no. 3-4, 1885–1942.
4. Ao, Weiwei; Jevnikar, Aleks; Yang, Wen; Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria. Ann. Mat. Pura Appl. (4) 200 (2021), no. 3, 1175–1194.
5. Ao, Weiwei; Jevnikar, Aleks; Yang, Wen; On the boundary behavior for the blow-up solutions of the sinh-Gordon equation and rank N Toda systems in bounded domains. Int. Math. Res. Not. IMRN 2020, no. 23, 9386–9419.
6. Ao, Weiwei; Yang, Wen; On the classification of solutions of cosmic strings equation. Ann. Mat. Pura Appl. (4) 198 (2019), no. 6, 2183–2193.
7. Ao, Weiwei; Lin, Chang-Shou; Wei, Juncheng; On non-topological solutions of the G2 Chern-Simons system. Comm. Anal. Geom. 24 (2016), no. 4, 717–752.
8. Ao, Weiwei; Lin, Changshou; Wei, Juncheng ; On Non-Topological Solutions of the A2 and B2 Chern-Simons System, Memoirs of American Mathematical Society, 2016, 239: 1-87.
9. Ao, Weiwei; Sharp estimates for fully bubbling solutions of B2 Toda system. Discrete Contin. Dyn. Syst. 36 (2016), no. 4, 1759–1788.
10. Ao, Weiwei; Lin, Chang-Shou; Wei, Juncheng; On Toda system with Cartan matrix G2. Proc. Amer. Math. Soc. 143 (2015), no. 8, 3525–3536.
11. Ao, Weiwei; Wang, Liping; New concentration phenomena for SU(3) Toda system. J. Differential Equations 256 (2014), no. 4, 1548–1580.

(iii) Concentration phenomena and related problem

1. Ao, Weiwei; Liu, Yong; Wei, Juncheng; Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows. Phys. D 434 (2022), Paper No. 133258.
2. Ao, Weiwei; Fu, Mengdie; Liu, Chao;Boundary concentrations on segments for a Neumann Ambrosetti-Prodi problem, Discrete Contin. Dyn. Syst. 42 (2022), no. 10, 4991–5015.
3. Ao, Weiwei; Peng, Yunjie; Winter, Matthias; Existence and stability of a spike in the central component for a consumer chain model in a two-dimensional domain. Nonlinear Anal. 221 (2022), Paper No. 112880, 24 pp.
4. Ao, Weiwei; Davila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng ; Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation, Transactions of the American Mathematical Society, 2021, 374(9): 6665-6689
5. Ao, Weiwei; Huang, Yehui; Liu, Yong; Wei, Juncheng; Generalized Adler-Moser polynomials and multiple vortex rings for the Gross-Pitaevskii equation. SIAM J. Math. Anal. 53 (2021), no. 6, 6959–6992.
6. Ao, Weiwei; Liu, Chao; Asymptotic behavior of sign-changing radial solutions of a semilinear elliptic equation in R2 when exponent approaches +∞. Discrete Contin. Dyn. Syst. 40 (2020), no. 8, 5047–5077.
7. Ao, Weiwei; Wei, Juncheng; Winter, Matthias; Stable spike clusters on a compact two-dimensional Riemannian manifold. J. Differential Equations 268 (2020), no. 7, 3665–3704.
8.  Ao, Weiwei; Musso, Monica; Wei, Juncheng; Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrödinger equation, Bull. Soc. Math. France 147 (2019), no. 1, 1–48.
9. Ao, Weiwei; Wei, Juncheng; Winter, Matthias; Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system. J. Math. Pures Appl. (9) 121 (2019), 1–46.
10. Ao, Weiwei; Chan, Hardy; Wei, Juncheng; Boundary concentrations on segments for the Lin-Ni-Takagi problem. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 18 (2018), no. 2, 653–696.
11. Ao, Weiwei; Wei, Juncheng; Yang, Wen; Infinitely many positive solutions of fractional nonlinear Schr\'odinger equations with non-symmetric potentials. Discrete Contin. Dyn. Syst. 37 (2017), no. 11, 5561–5601.
12. Ao, Weiwei; Wei, Juncheng; Yao, Wei; Uniqueness and nondegeneracy of sign-changing radial solutions to an almost critical elliptic problem. Adv. Differential Equations 21 (2016), no. 11-12, 1049–1084.
13. Ao, Weiwei; Wang, Liping; Yao, Wei; Infinitely many solutions for nonlinear Schr\'odinger system with non-symmetric potentials. Commun. Pure Appl. Anal. 15 (2016), no. 3, 965–989.
14. Ao, Weiwei; Musso, Monica; Pacard, Frank; Wei, Juncheng; Solutions without any symmetry for semilinear elliptic problems. J. Funct. Anal. 270 (2016), no. 3, 884–956.
15. Ao, Weiwei; Wei, Juncheng; Infinitely many positive solutions for nonlinear equations with non-symmetric potentials. Calc. Var. Partial Differential Equations 51 (2014), no. 3-4, 761–798.
16. Ao, Weiwei; Yang, Jun; Layered solutions with concentration on lines in three-dimensional domains. Anal. Appl. (Singap.) 12 (2014), no. 2, 161–194.
17. Ao, Weiwei; Wei, Juncheng; Zeng, Jing; An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem. J. Funct. Anal. 265 (2013), no. 7, 1324–1356.
18. Ao, Weiwei; Musso, Monica; Wei, Juncheng; Triple junction solutions for a singularly perturbed Neumann problem. SIAM J. Math. Anal. 43 (2011), no. 6, 2519–2541.
19. Ao, Weiwei; Musso, Monica; Wei, Juncheng; On spikes concentrating on line-segments to a semilinear Neumann problem. J. Differential Equations 251 (2011), no. 4-5, 881–901.