From affine Poincaré inequalities to affine spectral inequalities
From MaRDI portal
Publication:2039559
DOI10.1016/j.aim.2021.107808zbMath1467.35231arXiv2003.07391OpenAlexW3169950101MaRDI QIDQ2039559
Marcos Montenegro, Carlos Hugo Jiménez, Julian Haddad
Publication date: 5 July 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07391
Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Inequalities and extremum problems involving convexity in convex geometry (52A40) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities, Fixed point theorem: variants, affine context and some consequences, Towards existence theorems to affine \(p\)-Laplace equations via variational approach
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