Geodesic
Local boundedness for minimizers of variational integrals under anisotropic nonstandard growth conditions
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1165-1184
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This paper deals with local boundedness for minimizers of vectorial integrals under anisotropic growth conditions by using De Giorgi's iterative method. We consider integral functionals with the first part of the integrand satisfying anisotropic growth conditions including a convex nondecreasing function $g$, and with the second part, a convex lower order term or a polyconvex lower order term. Local boundedness of minimizers is derived.
This paper deals with local boundedness for minimizers of vectorial integrals under anisotropic growth conditions by using De Giorgi's iterative method. We consider integral functionals with the first part of the integrand satisfying anisotropic growth conditions including a convex nondecreasing function $g$, and with the second part, a convex lower order term or a polyconvex lower order term. Local boundedness of minimizers is derived.
DOI : 10.21136/CMJ.2024.0121-24
Classification : 35J20
Keywords: local boundedness; minimizer; variational integral; anisotropic growth; convex; polyconvex 
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Feng, Zesheng; Zhang, Aiping; Gao, Hongya. Local boundedness for minimizers of variational integrals under anisotropic nonstandard growth conditions. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1165-1184. doi: 10.21136/CMJ.2024.0121-24

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