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1. |
Record Nr. |
UNINA9910688483503321 |
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Autore |
Fahad Shah |
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Titolo |
Abiotic Stress in Plants |
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Pubbl/distr/stampa |
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London : , : IntechOpen, , 2021 |
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©2021 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (496 pages) |
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Altri autori (Persone) |
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SaudShah |
ChenYajun |
WuChao |
WangDepeng |
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Disciplina |
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Soggetti |
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Plants - Effect of stress on |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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Environmental insults such as extremes of temperature, extremes of water status, and deteriorating soil conditions pose major threats to agriculture and food security. Employing contemporary tools and techniques from all branches of science, attempts are being made worldwide to understand how plants respond to abiotic stresses with the aim to manipulate plant performance that is better suited to withstand these stresses. This book searches for possible answers to several basic questions related to plant responses towards abiotic stresses. Synthesizing developments in plant stress biology, the book offers strategies that can be used in breeding, including genomic, molecular, physiological, and biotechnological approaches that have the potential to develop resilient plants and improve crop productivity worldwide. |
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2. |
Record Nr. |
UNINA9910966324603321 |
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Autore |
Kolesnikov Alexander V |
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Titolo |
Local Lp-Brunn-Minkowski inequalities for p < 1 / / Alexander V. Kolesnikov, Emanuel Milman |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2022 |
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©2022 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (90 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.277 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Convex domains |
Lp spaces |
Minkowski geometry |
Inequalities (Mathematics) |
Convex and discrete geometry -- General convexity -- Inequalities and extremum problems |
Convex and discrete geometry -- General convexity -- Asymptotic theory of convex bodies |
Partial differential equations -- Spectral theory and eigenvalue problems -- Estimation of eigenvalues, upper and lower bounds |
Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Cover -- Title page -- Chapter 1. Introduction -- 1.1. Previously Known Partial Results -- 1.2. Main Results -- 1.3. Spectral Interpretation via the Hilbert-Brunn-Minkowski operator -- 1.4. Method of Proof -- 1.5. Applications -- Chapter 2. Notation -- Chapter 3. Global vs. Local Formulations of the ^{ }-Brunn-Minkowski Conjecture -- 3.1. Standard Equivalent Global Formulations -- 3.2. Global vs. Local ^{ }-Brunn-Minkowski -- Chapter 4. Local ^{ }-Brunn-Minkowski Conjecture -Infinitesimal Formulation -- 4.1. Mixed Surface |
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Area and Volume of ² functions -- 4.2. Properties of Mixed Surface Area and Volume -- 4.3. Second ^{ }-Minkowski Inequality -- 4.4. Comparison with classical =1 case -- 4.5. Infinitesimal Formulation On ⁿ⁻¹ -- 4.6. Infinitesimal Formulation On ∂ -- Chapter 5. Relation to Hilbert-Brunn-Minkowski Operator and Linear Equivariance -- 5.1. Hilbert-Brunn-Minkowski operator -- 5.2. Linear equivariance of the Hilbert-Brunn-Minkowski operator -- 5.3. Spectral Minimization Problem and Potential Extremizers -- Chapter 6. Obtaining Estimates via the Reilly Formula -- 6.1. A sufficient condition for confirming the local -BM inequality -- 6.2. General Estimate on \D( ) -- 6.3. Examples -- Chapter 7. The second Steklov operator and \B( ₂ⁿ) -- 7.1. Second Steklov operator -- 7.2. Computing \B( ₂ⁿ) -- Chapter 8. Unconditional Convex Bodies and the Cube -- 8.1. Unconditional Convex Bodies -- 8.2. The Cube -- Chapter 9. Local log-Brunn-Minkowski via the Reilly Formula -- 9.1. Sufficient condition for verifying local log-Brunn-Minkowski -- 9.2. An alternative derivation via estimating \B( ) -- Chapter 10. Continuity of \B, \BNH, \D with application to _{ }ⁿ -- 10.1. Continuity of \B, \BNH, \D in -topology -- 10.2. The Cube -- 10.3. Unit-balls of ℓ_{ }ⁿ -- Chapter 11. Local Uniqueness for Even ^{ }-Minkowski Problem. |
Chapter 12. Stability Estimates for Brunn-Minkowski and Isoperimetric Inequalities -- 12.1. New stability estimates for origin-symmetric convex bodies with respect to variance -- 12.2. Improved stability estimates for all convex bodies with respect to asymmetry -- Bibliography -- Back Cover. |
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Sommario/riassunto |
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"The Lp-Brunn-Minkowski theory for p<1, proposed by Firey and developed by Lutwak in the 90's, replaces the Minkowski addition of convex sets by its Lp counterpart, in which the support functions are added in Lp-norm. Recently, Boroczky, Lutwak, Yang and Zhang have proposed to extend this theory further to encompass the range. In particular, they conjectured an Lp-Brunn-Minkowski inequality for origin-symmetric convex bodies in that range, which constitutes a strengthening of the classical Brunn-Minkowski inequality. Our main result confirms this conjecture locally for all (smooth) origin-symmetric convex bodies in Rn and. In addition, we confirm the local log-Brunn-Minkowski conjecture (the case ) for small-enough C2-perturbations of the unit-ball of for q 2, when the dimension n is sufficiently large, as well as for the cube, which we show is the conjectural extremal case. For unit-balls of with q, we confirm an analogous result for , a universal constant. It turns out that the local version of these conjectures is equivalent to a minimization problem for a spectral-gap parameter associated with a certain differential operator, introduced by Hilbert (under different normalization) in his proof of the Brunn- Minkowski inequality. As applications, we obtain local uniqueness results in the even Lp-Minkowski problem, as well as improved stability estimates in the Brunn- Minkowski and anisotropic isoperimetric inequalities"-- |
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