Elliptic partial differential equations : existence and regularity of distributional solutions

Elliptic partial differential equations : existence and regularity of distributional solutions /

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Bibliographic Details
Main Authors: Boccardo, L. (Lucio) (Author), Croce, Gisella (Author)
Corporate Author: Ebooks Corporation
Format: Electronic eBook
Language:English
Published: Berlin : de Gruyter GmbH & Co. KG, [2014]
Series:De Gruyter studies in mathematics ; 55.
Subjects:
Differential equations, Elliptic.
Differential equations, Partial.
Online Access:Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)

MARC

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100 1 |a Boccardo, L.  |q (Lucio),  |e author. 
245 1 0 |a Elliptic partial differential equations :  |b existence and regularity of distributional solutions /  |c Lucio Boccardo, Gisella Croce. 
264 1 |a Berlin :  |b de Gruyter GmbH & Co. KG,  |c [2014] 
300 |a 1 online resource (ix, 192 pages.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter studies in mathematics,  |x 0179-0986 ;  |v vol. 55 
533 |a Electronic reproduction.  |b Perth, W.A.  |n Available via World Wide Web. 
588 |a Description based on print version record. 
505 0 0 |a Machine generated contents note:   |g 1.  |t Introduction --   |g 2.  |t Some fixed point theorems --   |g 2.1.  |t Introduction --   |g 2.2.  |t Banach-Caccioppoli theorem --   |g 2.3.  |t Brouwer's theorem --   |g 2.4.  |t Schauder's theorem --   |g 3.  |t Preliminaries of real analysis --   |g 3.1.  |t Introduction --   |g 3.2.  |t Nemitski's composition theorem --   |g 3.3.  |t Marcinkiewicz spaces --   |g 3.4.  |t Appendix --   |g 4.  |t Linear and semilinear elliptic equations --   |g 4.1.  |t Introduction --   |g 4.2.  |t Lax-Milgram and Stampacchia's theorems --   |g 4.3.  |t Linear equations --   |g 4.4.  |t Some semilinear monotone equations --   |g 4.5.  |t Sub and supersolutions method --   |g 4.6.  |t Appendix --   |g 5.  |t Nonlinear elliptic equations --   |g 5.1.  |t Introduction --   |g 5.2.  |t Surjectivity theorem --   |g 5.3.  |t Leray-Lions existence theorem --   |g 6.  |t Summability of the solutions --   |g 6.1.  |t Introduction --   |g 6.2.  |t Preliminaries --   |g 6.3.  |t Sources in Lebesgue spaces --   |g 6.4.  |t Sources in Marcinkiewicz spaces --   |g 6.5.  |t Sources in divergence form --   |g 7.  |t H2 regularity for linear problems --   |g 7.1.  |t Introduction --   |g 7.2.  |t Preliminaries --   |g 7.3.  |t H2(Ω) regularity of the solutions --   |g 8.  |t Spectral analysis for linear operators --   |g 8.1.  |t Introduction --   |g 8.2.  |t Eigenvalues of linear elliptic operators --   |g 8.3.  |t Applications to some semilinear equations --   |g 8.4.  |t Appendix --   |g 9.  |t Calculus of variations and Euler's equation --   |g 9.1.  |t Introduction --   |g 9.2.  |t Direct methods in the calculus of variations --   |g 9.3.  |t Euler equation --   |g 9.4.  |t Summability of minimizers of integral functionals --   |g 9.5.  |t Ekeland variational principle --   |g 9.6.  |t Appendix --   |g 10.  |t Natural growth problems --   |g 10.1.  |t Introduction --   |g 10.2.  |t problem with bounded solutions --   |g 10.3.  |t problem with unbounded solutions --   |g 11.  |t Problems with low summable sources --   |g 11.1.  |t Introduction --   |g 11.2.  |t priori estimates --   |g 11.3.  |t Distributional solutions --   |g 11.4.  |t linear case: a different proof --   |g 11.5.  |t Entropy solutions --   |g 11.6.  |t comparison between entropy solutions and distributional solutions --   |g 11.7.  |t Measure sources --   |g 11.8.  |t regularizing effects of a lower order term --   |g 11.9.  |t T-minima --   |g 11.10.  |t Appendix --   |g 12.  |t Uniqueness --   |g 12.1.  |t Introduction --   |g 12.2.  |t Monotone elliptic operators --   |g 12.3.  |t nonmonotone elliptic operator --   |g 12.4.  |t uniqueness result for measure sources --   |g 13.  |t problem with polynomial growth --   |g 13.1.  |t Introduction --   |g 13.2.  |t Existence results --   |g 14.  |t problem with degenerate coercivity --   |g 14.1.  |t Introduction --   |g 14.2.  |t case 0 < θ < 1 --   |g 14.3.  |t case θ > 1: existence and nonexistence --   |g 14.4.  |t regularizing effects of a lower order term. 
504 |a Includes bibliographical references (pages 187-189) and index. 
650 0 |a Differential equations, Elliptic. 
650 0 |a Differential equations, Partial. 
700 1 |a Croce, Gisella,  |e author. 
710 2 |a Ebooks Corporation 
776 0 8 |c Original  |z 9783110315400  |z 3110315408  |z 9783110315431  |z 3110315432  |w (DLC) 2013029476 
830 0 |a De Gruyter studies in mathematics ;  |v 55.  |x 0179-0986 
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