Browsing by Author "Wang, Kelei"

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    • A monotonicity formula and a Liouville-typetheorem for a fourth order super critical problem 
      Dávila Bonczos, Juan; Dupaigne, Louis; Wang, Kelei; Wei, Juncheng (Elsevier, 2014)
      We consider Liouville-type and partial regularity results for then online arfourth-order problem Δ2u = |u|p−1u in Rn, where p>1 and n≥ 1.We give a complete classification of stableand finite Morse index solutions ...
    • Qualitative analysis of rupture solutions for a MEMS problem 
      Dávila Bonczos, Juan; Wang, Kelei; Wei, Juncheng (Elsevier, 2016)
      We prove sharp Holder continuity and an estimate of rupture sets for sequences of solutions of the following nonlinear problem with negative exponent Delta u =1/u(p) in Omega, p > 1. As a consequence, we prove the ...