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＜E-Book＞
Functional inequalities : new perspectives and new applications / Nassif Ghoussoub, Amir Moradifam
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 187)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2013]
Size	1 online resource (xxiv, 299 pages)
Authors	*Ghoussoub, N 1953- Moradifam, Amir 1980-
Subjects	LCSH:Inequalities (Mathematics) LCSH:Harmonic analysis FREE:Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory  All Subject Search FREE:Partial differential equations -- General topics -- Inequalities involving derivatives and differential and integral operators, inequalities for integrals  All Subject Search FREE:Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators  All Subject Search FREE:Partial differential equations -- General topics -- Variational methods  All Subject Search FREE:Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems  All Subject Search
Contents	1. Bessel pairs and Sturm's oscillation theory 2. The classical Hardy inequality and its improvements 3. Improved Hardy inequality with boundary singularity 4. Weighted Hardy inequalities 5. The Hardy inequality and second order nonlinear eigenvalue problems 6. Improved Hardy-Rellich inequalities on $H^2_0(\Omega )$ 7. Weighted Hardy-Rellich inequalities on $H^2(\Omega )\cap H^1_0(\Omega )$ 8. Critical dimensions for $4^{\textrm {th}}$ order nonlinear eigenvalue problems 9. General Hardy inequalities 10. Improved Hardy inequalities for general elliptic operators 11. Regularity and stability of solutions in non-self-adjoint problems 12. A general comparison principle for interacting gases 13. Optimal Euclidean Sobolev inequalities 14. Geometric inequalities 15. The Hardy-Sobolev inequalities 16. Domain curvature and best constants in the Hardy-Sobolev inequalities 17. Log-Sobolev inequalities on the real line 18. Trudinger-Moser-Onofri inequality on $\mathbb {S}^2$ 19. Optimal Aubin-Moser-Onofri inequality on $\mathbb {S}^2$
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2013 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/187 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/187 Information=Contents

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