A new partial regularity proof for solutions of nonlinear elliptic systems

被引:0
作者
Christoph Hamburger
机构
来源
manuscripta mathematica | 1998年 / 95卷
关键词
Weak Solution; Bilinear Form; Elliptic System; Manuscripta Math; Partial Regularity;
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摘要
We prove partial regularity for weak solutionsu of the fully nonlinear elliptic system divA (x, u, Du) +B (x, u, Du)=0, whereA andB have natural polynomial growth, and whereB satisfies a two-sided or a one-sided condition. We do not employ a reverse Hölder inequality.
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页码:11 / 31
页数:20
相关论文
共 11 条
[1]  
Evans L.C.(1986)Quasiconvexity and partial regularity in the calculus of variations Arch. Rational Mech. Anal. 95 227-252
[2]  
Evans L.C.(1987)Blow-up, compactness and partial regularity in the calculus of variations Indiana Univ. Math. J. 36 361-371
[3]  
Gariepy R.F.(1985)An elementary, direct proof of partial regularity for solutions of certain nonlinear elliptic systems Indiana Univ. Math. J. 34 857-864
[4]  
Evans L.C.(1979)Almost-everywhere regularity results for solutions of nonlinear elliptic systems manuscripta math. 28 109-158
[5]  
Giarrusso E.(1986)On a method of K. Uhlenbeck for proving partial regularity for solutions of certain nonlinear elliptic systems manuscripta math. 54 381-390
[6]  
Giaquinta M.(1995)Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations Ann. Mat. Pura Appl. 169 321-354
[7]  
Modica G.(1996)Partial regularity for minimizers of variational integrals with discontinuous integrands Ann. Inst. Henri Poincaré, Analyse non linéaire 13 255-282
[8]  
Giarrusso E.(1979)Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung manuscripta math. 30 53-88
[9]  
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