[PDF] Top 20 Boundary regularity of weak solutions to nonlinear elliptic obstacle problems

... [15] S. Z. Zheng, Partial regularity of A-harmonic systems of equations and quasiregular mappings, Chinese Annals of Mathematics. Series A. Shuxue Niankan. A Ji 19 (1998), no. 1, 63–72 (Chi- nese), translation in ... See full document

... of weak solution to a class of nonlinear elliptic obstacle problems with partially regular nonlinearities in a bounded Reifenberg flat ...of weak solutions to Dirichlet ... See full document

... the boundary regularity for weak solutions to quasilinear elliptic systems under a super quadratic controllable growth condition, and we obtain a general criterion for a weak ... See full document

... consider boundary regularity for weak solutions of quasilinear elliptic systems with the supquadratic growth condition and obtain a general criterion for a weak solution to be ... See full document

... local regularity and local boundedness for very weak solutions of obstacle ...Local regularity and local boundedness properties are important among the regularity theories of ... See full document

... nonlinear problems converges in a similar number of iterations as for linear ...for elliptic obstacle problems focusing the one in ...an obstacle problem in D where the mesh ... See full document

... the boundary of domain, under which the gradient of weak solution is integrable as the in- homogeneous term and the gradient of obstacle functions in the setting of the generalized Lorentz spaces ... See full document

... Local regularity result for solutions of obstacle ...C: Weak minima of variational ...Local regularity result for very weak solutions of obstacle ...non-linear ... See full document

... space regularity for weak solutions of Stokes systems with VMO coefficients by using a mod- ified A-harmonic approximation ...partial regularity for quasilinear elliptic systems with VMO ... See full document

... the weak solutions to the obstacle problem for the homogeneous nondiagonal quasilinear degenerate elliptic system, the interior Morrey regularity and Hölder continuity of weak ... See full document

... the obstacle function ψ ≥ 0, where operator A satisfies conditions 〈A ( x , ξ ), ξ〉 ≥ a |ξ| p and |A ( x , ξ ) | ≤ b |ξ| p -1 with A ( x , 0) = ...of weak solutions of nonlinear ... See full document

... a nonlinear differential operator and give an almost complete classification of coefficient m and variable exponent α(x), then we prove the existence and regularity of ... See full document

... φ ≡ 1 on B(z,r/2) in (1.10) and using (1.4), (1.7), Lemma 2.1. The right-hand inequality in (2.8) was proved for C ≡ 0 in [22] under slightly di ff erent structure assumptions. To adapt the proof in [22] to our situation ... See full document

... Semipositone problems arise in bulking of mechanical systems, design of suspension bridges, chemical reactions, astrophysics, combustion, and management of natural ... See full document

... assuming the standard subcritical polynomial growth condition ensuring the compactness of a bounded (P.S.) sequence, we show that the Navier boundary value problem has at least a weak nontrivial solution ... See full document

... a nonlinear equation in the degenerate ...particular boundary value problems for ordinary and partial second-order differential ...many nonlinear mathematical, physical and numerical ... See full document

... Neumann boundary value problems in the form of ...with boundary see 2, 3, in the study of optimal constants for the Sobolev trace embedding see 4–7, or at non-Newtonian fluids, flow through porus ... See full document

... The semilinear case p = 2 with γ < 1 and f = 0 has been studied extensively in both bounded and unbounded domains (see [5, 6, 7, 10, 11, 12, 14, 20] and their references). In particular, Lair and Shaker [11] showed ... See full document

... In accordance with the method in the proof of Theorem 3.2, we can prove that the boundary value problem (3.20), (3.21) has a unique solution u x   . Denote by u x     T u x     the mapping from   u x ... See full document

... three solutions in E. Hence, the problem (P f λ,μ ,g ) has at least three weak solutions whose norms are less than R ...three solutions for the prob- lem (P f λ,μ ,g ) with F(x, u) being of ... See full document