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Original Articles

On the removability of a singularity for minimizers of an integral functional

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Pages 493-501 | Received 25 Sep 2009, Accepted 17 Apr 2010, Published online: 04 Sep 2010

References

  • S. D'Asero, On removability of the isolated singularity for solutions of high order elliptic equations, Compl. Var. Ellipt. Equ. 55(5–6) (2010), pp. 525–536.
  • Xian Gao , L . 1990 . Partial regularity of multiple variational integrals of any order . Proc. Roy. Soc. Edinburgh Sect. A , 114 ( 3–4 ) : 279 – 290 .
  • Meyers , NG . 1965 . Quasiconvexity and semicontinuity of multiple variational integrals of any order . Trans. Amer. Math. Soc. , 119 : 125 – 149 .
  • De Giorgi , E . 1968 . Un esempio di estremali discontinue per un problema variazionale di tipo ellittico . Boll. Un. Mat. Ital. , 1 ( 4 ) : 135 – 137 .
  • Giusti , E and Miranda , M . 1968 . Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni . Boll. Un. Mat. Italiana Ser. IV , 2 : 219 – 226 .
  • Skrypnik , IV . 1978 . High order quasilinear elliptic equations with continuous generalized solutions . Differ. Eqns. , 14 ( 6 ) : 786 – 795 .
  • Skrypnik , IV . 1973 . Nonlinear elliptic equations of high order , Kiev : Naukova Dumka . (in Russian)
  • Serrin , J . 1964 . Local behaviour of solutions of quasilinear equations . Acta Math. , 111 : 247 – 302 .
  • Serrin , J . 1965 . Isolate singularities of solutions of quasilinear equations . Acta Math. , 113 : 219 – 240 .
  • Nicolosi , F , Skrypnik , IV and Skrypnik , II . 2003 . Precise point-wise conditions for removable isolated singularities . Comm. Partial Differ. Eqns. , 28 ( 3–4 ) : 677 – 696 .
  • Veron , L . 1996 . Singularities of Solutions of Second order Quasilinear Equations, Pitman Research Notes in Mathematics Series , Vol. 353 , Harlow : Longman .
  • Cataldo , V and Cianci , P . On the removability of singularity for solutions of degenerate anisotropic nonlinear elliptic equations . submitted for publication
  • Namlyeyeva , YV , Shishkov , AE and Skrypnik , II . 2006 . Isolated singularities of solutions of quasilinear anisotropic elliptic equations . Adv. Nonlinear Stud. , 6 ( 4 ) : 617 – 641 .
  • Giusti , E . 2003 . Direct Methods in the Calculus of Variations , River Edge, NJ : World Scientific Publishing Co., Inc. .
  • Moser , J . 1960 . A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations . Commun. Pure Appl. Math. , 13 : 457 – 468 .

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