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Title of Journal: Calc Var

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Abbravation: Calculus of Variations and Partial Differential Equations

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Springer Berlin Heidelberg

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DOI

10.1007/s00526-016-1091-7

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1432-0835

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On elliptic systems with Sobolev critical growth

Authors: Shuangjie Peng Yanfang Peng ZhiQiang Wang
Publish Date: 2016/11/02
Volume: 55, Issue: 6, Pages: 142-
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Abstract

The authors are grateful to the referee’s thoughtful reading of details of the paper and valuable comments S Peng was partially supported by NSFC11571130 and the Program for Changjiang Scholars and Innovative Research Team in University No IRT13006 ZQ Wang was partially supported by NSFC11271201In these cases htau has a unique zero point tau 00 such that htau 0forall tau in 0tau 0 htau 0forall tau in tau 0+infty Notice that f0=1 and ftau rightarrow 1 as tau rightarrow +infty we see that the graphs of htau gtau ftau are as follows


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  1. Asymptotic behavior at isolated singularities for solutions of nonlocal semilinear elliptic systems of inequalities
  2. Fractional Poincaré inequality with finite total Q -curvature
  3. Solitary waves for a class of quasilinear Schrödinger equations in dimension two
  4. Thick clusters for the radially symmetric nonlinear Schrödinger equation
  5. Critical points for functionals with quasilinear singular Euler–Lagrange equations
  6. Duality for rectified cost functions
  7. An approach to minimization under a constraint: the added mass technique
  8. Single-point condensation phenomena for a four-dimensional biharmonic Ren–Wei problem
  9. Uniqueness and nondegeneracy of positive radial solutions of $$\mathbf {div\,{\varvec{(}}{\varvec{\rho }} \nabla u{\varvec{)}} +{\varvec{\rho }}{\varvec{(}}-gu+hu^p{\varvec{)}}=0}$$
  10. Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
  11. Lower bounds of Dirichlet eigenvalues for some degenerate elliptic operators
  12. Sharp energy estimates for nonlinear fractional diffusion equations
  13. On Newton equations which are totally integrable at infinity
  14. Energy asymptotics for Type II superconductors
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  16. Singular points of Hölder asymptotically optimally doubling measures
  17. Weak KAM theory for a weakly coupled system of Hamilton–Jacobi equations
  18. Cahn–Hilliard–Navier–Stokes systems with moving contact lines
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  23. A Penrose inequality for graphs over Kottler space
  24. Moser–Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2

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