The role of non-negative polynomials for rank-one convexity and quasi convexity

DOI10.1007/BF03377390zbMath1383.49015OpenAlexW2577087022MaRDI QIDQ1691828

Luis Bandeira, Pablo Pedregal

Publication date: 25 January 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03377390

zbMATH Keywords

non-negative polynomialsquasi convexityrank-one convexity

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Real algebraic and real-analytic geometry (14P99)

Cites Work

• Discriminants and nonnegative polynomials
• Quasiconvex quadratic forms in two dimensions
• Convexity conditions and existence theorems in nonlinear elasticity
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Rank-one convexity does not imply quasiconvexity
• Direct methods in the calculus of variations
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