Existence and regularity of minima for integral functionals noncoercive in the energy space
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)
- Volume: 25, Issue: 1-2, page 95-130
- ISSN: 0391-173X
Access Full Article
topHow to cite
topBoccardo, Lucio, and Orsina, Luigi. "Existence and regularity of minima for integral functionals noncoercive in the energy space." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.1-2 (1997): 95-130. <http://eudml.org/doc/84297>.
@article{Boccardo1997,
author = {Boccardo, Lucio, Orsina, Luigi},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {integral functional; lower-semicontinuity; existence; regularity; minima; coerciveness; summability; Marcinkiewicz spaces; existence of solutions; Euler equation},
language = {eng},
number = {1-2},
pages = {95-130},
publisher = {Scuola normale superiore},
title = {Existence and regularity of minima for integral functionals noncoercive in the energy space},
url = {http://eudml.org/doc/84297},
volume = {25},
year = {1997},
}
TY - JOUR
AU - Boccardo, Lucio
AU - Orsina, Luigi
TI - Existence and regularity of minima for integral functionals noncoercive in the energy space
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 1-2
SP - 95
EP - 130
LA - eng
KW - integral functional; lower-semicontinuity; existence; regularity; minima; coerciveness; summability; Marcinkiewicz spaces; existence of solutions; Euler equation
UR - http://eudml.org/doc/84297
ER -
References
top- [1] A. Ambrosetti - H. Brezis - G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal.122 (1994), 519-543. Zbl0805.35028MR1276168
- [2] P. Benilan - L. Boccardo - T. Gallouet - R. Gariepy - M. Pierre - J.L. Vazquez, An L 1 theory of existence and uniqueness of nonlinear elliptic equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci.22 (1995), 240-273. Zbl0866.35037MR1354907
- [3] A. Bensoussan - L. Boccardo - F. Murat, On a nonlinear partial differential equation having natural growth terms and unbounded solution, Ann. Inst. H. Poincaré Anal. Non Linéaire5 (1988), 347-364. Zbl0696.35042MR963104
- [4] L. Boccardo - F. Murat - J.-P. Puel, Existence of bounded solutions for nonlinear elliptic unilateral problems, Ann. Mat. Pura Appl.152 (1988), 183-196. Zbl0687.35042MR980979
- [5] L. Boccardo - F. Murat - J.-P. Puel, L∞ estimate for some nonlinear elliptic partial differential equations and application to an existence result, SIAM J. Math. Anal.23 (1992), 326-333. Zbl0785.35033
- [6] L. Boccardo - A. Dall'aglio - L. Orsina, Existence and Regularity Results for some Elliptic Equations with Degenerate Coercivity, special issue in honor of Calogero Vinti, Atti Sem. Mat. Fis. Univ. Modena, to appear. Zbl0911.35049MR1645710
- [7] L. Boccardo - D. Giachetti, Ls regularity of solutions of some nonlinear elliptic problems, preprint. Zbl0803.35046
- [8] L. Boccardo - L. Orsina, Semilinear elliptic equations in Ls, Houston J. Math.20 (1994), 99-114. Zbl0803.35047
- [9] B. Dacorogna, "Direct methods in the calculus of variations", Applied Mathematical Sciences78, Springer-Verlag, Berlin- New York, 1989. Zbl0703.49001MR990890
- [10] E. De Giorgi, "Teoremi di Semicontinuità nel Calcolo delle Variazioni", Lecture notes, Istituto Nazionale di Alta Matematica, Roma, 1968.
- [11] E. De Giorgi, Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat.3 (1957), 25-43. Zbl0084.31901MR93649
- [12] M. Giaquinta, "Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems", Annals of Mathematics Studies105, Princeton University Press, Princeton, NJ, 1983. Zbl0516.49003MR717034
- [13] M. Giaquinta - E. Giusti, On the regularity of the minima of variational integrals, Acta Math.148 (1982), 31-46. Zbl0494.49031MR666107
- [14] O Ladyženskaya - N. Ural'ceva, "Linear and Quasilinear Elliptic Equations ", Academic Press, New York, 1968. Zbl0164.13002MR244627
- [15] J. Leray - J.-L. Lions, Quelques résultats de Višik sur les problèmes elliptiques semi-linéaires par les méthodes de Minty et Browder, Bull. Soc. Math. France93 (1965), 97-107. Zbl0132.10502MR194733
- [16] A. Porretta, Uniqueness and Homogenization for a Class of Noncoercive Operators in Divergence form, Special Issue in Honor of Calogero Vinti, Atti Sem. Mat. Fis. Univ. Modena, to appear. Zbl0914.35049MR1645762
- [17] G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965), 189-258. Zbl0151.15401MR192177
Citations in EuDML Documents
top- David Arcoya, Lucio Boccardo, Luigi Orsina, Existence of critical points for some noncoercive functionals
- A. Mercaldo, Existence and boundedness of minimizers of a class of integral functionals
- Aiping Zhang, Zesheng Feng, Hongya Gao, Regularizing effect of the interplay between coefficients in some noncoercive integral functionals
- Francesca Faraci, A bifurcation theorem for noncoercive integral functionals
- David Arcoya, Sergio Segura de León, Uniqueness of solutions for some elliptic equations with a quadratic gradient term
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.