A modification of the blowup technique for variational integrals with subquadratic growth

Journal of Mathematical Analysis and Applications

Volumn 210, Issue 2, 1997, Pages 484-498

  Fuchs, Martin ^a   Reuling, Jürgen ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; NUMERICAL METHODS; VARIATIONAL TECHNIQUES; VECTORS;

VARIATIONAL INTEGRALS; VECTOR VALUED FUNCTIONS;

INTEGRAL EQUATIONS;

EID: 0031153296     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5451     Document Type: Article

References (8)

1. 1. E. Acerbi and N. Fusco, Regularity for minimizers of non-quadratic functional. The case 1 < p < 2, J. Math. Anal. Appl. 140 (1989), 115-135.
2. 2. G. Anzellotti and M. Giaquinta, Convex functionals and partial regularity, Arch. Ration. Mech. Anal. 102 (1988), 243-272.
3. 3. G. Astarita and G. Marrucci, "Principles of Non-Newtonian Fluid Mechanics," McGraw-Hill, London, 1974.
4. 4. L. C. Evans and R. F. Gariepy, Blowup, Compactness and partial regularity in the calculus of variations, Indiana Univ. Math. J. 36 (1987), 361-371.
5. 5. J. Frehse, Two dimensional variational problems with thin obstacles, Math. Z. 143 (1975), 279-288.
6. 6. J. Frehse and G. Seregin, Regularity for solutions of variational problems in the deformation theory of plasticity with logarithmic hardening, Preprint SFB 256, Bonn, No. 421, 1995; Proc. St. Petersburg Math. Soc., to appear.
7. 6. J. Frehse and G. Seregin, Regularity for solutions of variational problems in the deformation theory of plasticity with logarithmic hardening, Preprint SFB 256, Bonn, No. 421, 1995; Proc. St. Petersburg Math. Soc., to appear.
8. 7. C. Hamburger, Regularity of differential forms minimizing degenerate elliptic functionals, J. Reine Angew. Math. 431 (1992), 7-64.