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001452167 001__ 1452167
001452167 003__ OCoLC
001452167 005__ 20230310003343.0
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001452167 019__ $$a1356793562$$a1356797408$$a1357019027
001452167 020__ $$a9783031218569$$q(electronic bk.)
001452167 020__ $$a3031218566$$q(electronic bk.)
001452167 020__ $$z9783031218552
001452167 020__ $$z3031218558
001452167 0247_ $$a10.1007/978-3-031-21856-9$$2doi
001452167 035__ $$aSP(OCoLC)1358405962
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001452167 049__ $$aISEA
001452167 050_4 $$aQA374
001452167 08204 $$a515/.36$$223/eng/20230112
001452167 1001_ $$aGhergu, Marius,$$eauthor.$$1https://orcid.org/0000-0001-9104-5295
001452167 24510 $$aPartial differential inequalities with nonlinear convolution terms /$$cMarius Ghergu.
001452167 264_1 $$aCham :$$bSpringer,$$c2022.
001452167 300__ $$a1 online resource (viii, 136 pages) :$$billustrations.
001452167 336__ $$atext$$btxt$$2rdacontent
001452167 337__ $$acomputer$$bc$$2rdamedia
001452167 338__ $$aonline resource$$bcr$$2rdacarrier
001452167 4901_ $$aSpringerBriefs in mathematics,$$x2191-8201
001452167 504__ $$aIncludes bibliographical references and index.
001452167 5050_ $$aChapter 1. Preliminary Facts -- Chapter 2. Quasilinear Elliptic Inequalities with Convolution Terms -- Chapter 3. Singular and Bounded Solutions for Quasilinear Inequalities -- Chapter 4. Polyharmonic Inequalities with Convolution Terms -- Chapter 5. Quasilinear Parabolic Inequalities with Convolution Terms -- Chapter 6. Higher Order Evolution Inequalities with Convolution Terms -- Appendix A. Some Properties of Superharmonic Functions -- Appendix B. Harnack Inequalities for Quasilinear Elliptic Operators -- Bibliography -- Index.
001452167 506__ $$aAccess limited to authorized users.
001452167 520__ $$aThis brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior. In their full generality, these inequalities display a non-local structure. Classical methods, such as maximum principle or sub- and super-solution methods, do not apply to this context. This work discusses partial differential inequalities (instead of differential equations) for which there is no variational setting. This current work brings forward other methods that prove to be useful in understanding the concept of a solution and its asymptotic behavior related to partial differential inequalities with nonlinear convolution terms. It promotes and illustrates the use of a priori estimates, Harnack inequalities, and integral representation of solutions. One of the first monographs on this rapidly expanding field, the present work appeals to graduate and postgraduate students as well as to researchers in the field of partial differential equations and nonlinear analysis.
001452167 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 12, 2023).
001452167 650_0 $$aDifferential inequalities.
001452167 650_0 $$aDifferential equations, Partial.
001452167 655_0 $$aElectronic books.
001452167 77608 $$iPrint version: $$z3031218558$$z9783031218552$$w(OCoLC)1348477282
001452167 830_0 $$aSpringerBriefs in mathematics,$$x2191-8201
001452167 852__ $$bebk
001452167 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-21856-9$$zOnline Access$$91397441.1
001452167 909CO $$ooai:library.usi.edu:1452167$$pGLOBAL_SET
001452167 980__ $$aBIB
001452167 980__ $$aEBOOK
001452167 982__ $$aEbook
001452167 983__ $$aOnline
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