EXISTENCE ET NON-EXISTENCE DE SOLUTIONS POSITIVES POUR DES SYSTEMES ELLIPTIQUES NON-LINEAIRES PDF Download
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Author: JEAN.. VELIN
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Book Description
DANS CETTE RECHERCHE, NOUS ENTREPRENONS D'ETENDRE AUX SYSTEMES ELLIPTIQUES NON-LINEAIRES DEPENDANT (1) OU NON (2) D'UNE MEME APPLICATION H DITE POTENTIELLE (CE QUE NOUS NOTERONS PAR S.D.P. POUR (1) ET S.N.D.P. POUR (2)), L'ETUDE DE L'EXISTENCE ET DE LA NON-EXISTENCE DE SOLUTIONS POSITIVES, BORNEES ET NON-TRIVIALES. L'OBTENTION D'UNE IDENTITE DE TYPE POHOZAEV, NOUS PERMET DE MONTRER SOUS CERTAINES CONDITIONS QU'UN PROBLEME ASSOCIE A UN S.D.P. N'EST SATISFAIT QUE POUR LA SOLUTION TRIVIALE. PAR CONTRE, NOUS AFFIRMONS L'EXISTENCE POUR UN TEL PROBLEME EN UTILISANT LE THEOREME DE PASSE-MONTAGNE. LORSQUE NOUS CONSIDERONS UN PROBLEME LIE A UN SYSTEME S.N.D.P., AVEC LA CONSTRUCTION D'UN COUPLE SOUS-SUR SOLUTION RADIAL, NOUS ETABLISSONS L'EXISTENCE. DES RESULTATS RELATIFS A CERTAINS PROBLEMES SPECTRAUX NON-LINEAIRES, NOUS DONNENT POUR UN S.D.P. (PARTICULIER), UNE CONDITION NECESSAIRE ET SUFFISANTE D'EXISTENCE
Author: JEAN.. VELIN
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Book Description
DANS CETTE RECHERCHE, NOUS ENTREPRENONS D'ETENDRE AUX SYSTEMES ELLIPTIQUES NON-LINEAIRES DEPENDANT (1) OU NON (2) D'UNE MEME APPLICATION H DITE POTENTIELLE (CE QUE NOUS NOTERONS PAR S.D.P. POUR (1) ET S.N.D.P. POUR (2)), L'ETUDE DE L'EXISTENCE ET DE LA NON-EXISTENCE DE SOLUTIONS POSITIVES, BORNEES ET NON-TRIVIALES. L'OBTENTION D'UNE IDENTITE DE TYPE POHOZAEV, NOUS PERMET DE MONTRER SOUS CERTAINES CONDITIONS QU'UN PROBLEME ASSOCIE A UN S.D.P. N'EST SATISFAIT QUE POUR LA SOLUTION TRIVIALE. PAR CONTRE, NOUS AFFIRMONS L'EXISTENCE POUR UN TEL PROBLEME EN UTILISANT LE THEOREME DE PASSE-MONTAGNE. LORSQUE NOUS CONSIDERONS UN PROBLEME LIE A UN SYSTEME S.N.D.P., AVEC LA CONSTRUCTION D'UN COUPLE SOUS-SUR SOLUTION RADIAL, NOUS ETABLISSONS L'EXISTENCE. DES RESULTATS RELATIFS A CERTAINS PROBLEMES SPECTRAUX NON-LINEAIRES, NOUS DONNENT POUR UN S.D.P. (PARTICULIER), UNE CONDITION NECESSAIRE ET SUFFISANTE D'EXISTENCE
Author: Habib Ammari
Publisher: World Scientific
ISBN: 9814295574
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco during the period of 28-30 October, 2008. Readers will find that this volume merges different approaches in nonlinear analysis, and covers, in a broad and balanced fashion, both the theoretical and numerical aspects of the subject. Graduate students, researchers and professionals with interest in the subject will find it useful while keeping abreast with the latest advancements in this field.
Author: Habib Ammari
Publisher: World Scientific
ISBN: 9814465607
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco duing the period of 28-30 October, 2008.Readers will find that this volume merges different approaches in nonlinear analysis, and covers, in a broad and balanced fashion, both the theoretical and numerical aspects of the subject. Graduate students, researchers and professionals with interest in the subject will find it useful while keeping abreast with the latest advancements in this field.
Author: Abdelhafid Mokrane
Publisher:
ISBN:
Category :
Languages : en
Pages : 128
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Book Description
EXISTENCE DE SOLUTIONS BORNEES POUR CERTAINES EQUATIONS PARABOLIQUES NON LINEAIRES. EXISTENCE DE SOLUTIONS POUR UN SYSTEME ELLIPTIQUE QUASI LINEAIRE A CROISSANCE QUADRATIQUE GRACE A UNE BORNE LINFINI PETITE. EXISTENCE DE SOLUTIONS POUR UN SYSTEME ELLIPTIQUE QUASI LINEAIRE AVEC UN SECOND MEMBRE A CROISSANCE QUADRATIQUE AYANT UNE STRUCTURE PARTICULIERE
Author: Abdelmoujib Benkirane
Publisher: CRC Press
ISBN: 9780203910108
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This impressive compilation of the material presented at the International Conference on Partial Differential Equations held in Fez, Morocco, represents an integrated discussion of all major topics in the area of partial differential equations--highlighting recent progress and new trends for real-world applications.
Author: ABDELHAK.. BECHAH
Publisher:
ISBN:
Category :
Languages : fr
Pages : 130
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Book Description
CETTE THESE EST CONSACREE A L'ETUDE DE QUELQUES SYSTEMES ELLIPTIQUES QUASILINEAIRES DANS DES DOMAINES NON BORNES. NOUS NOUS INTERESSONS EN PARTICULIER A DES SYSTEMES ELLIPTIQUES COMPORTANT L'OPERATEUR P-LAPLACIEN QUI EST DEFINI PAR PU = DIV(|*U| P - 2*U). CET OPERATEUR APPARAIT EN MECANIQUE DES FLUIDES, EN MECANIQUE DES SOLIDES, DANS LES MILIEUX POREUX, AINSI QUE DANS D'AUTRES DOMAINES. LA PREMIERE PARTIE DE CETTE THESE EST CONSACREE A L'ETUDE VARIATIONNELLE D'UN SYSTEME DERIVANT D'UN POTENTIEL. NOUS MONTRONS L'EXISTENCE DES SOLUTIONS STRICTEMENT POSITIVES DANS DIFFERENTS CAS : SUR-HOMOGENE, SOUS-HOMOGENE ET CRITIQUE. GRACE A UN RAISONNEMENT ASSEZ SEMBLABLE A CELUI UTILISE PAR CLEMENT, FLECKINGER, STAVRAKAKIS ET DE THELIN POUR LA SIMPLICITE DE LA VALEUR PROPRE NOUS OBTENONS UNE CONDITION NECESSAIRE ET SUFFISANTE POUR L'EXISTENCE DE LA SOLUTION STRICTEMENT POSITIVE POUR UN SYSTEME HOMOGENE PERTURBE PAR UN TERME SOUS-HOMOGENE. EN MEME TEMPS NOUS MONTRONS QUE LA SOLUTION OBTENUE EST UNIQUE, ENFIN, NOUS EMPLOYONS DES METHODES ITERATIVES DUES A SERRIN POUR ETABLIR DES ESTIMATIONS LOCALES ET GLOBALES DE LA SOLUTION. L'OBJET DE LA SECONDE PARTIE EST L'ETUDE NON VARIATIONNELLE D'UN SYSTEME HOMOGENE. NOUS NOUS INTERESSONS EN PARTICULIER A LA METHODE DU BLOW UP INTRODUITE PAR GIDAS ET SPRUCK QUI NOUS PERMET D'UTILISER LE THEOREME DU DEGRE TOPOLOGIQUE DE LERAY SCHAUDER ET D'OBTENIR L'EXISTENCE DES SOLUTIONS CLASSIQUES.
Author: Gabriela Caristi
Publisher: CRC Press
ISBN: 1000117197
Category : Mathematics
Languages : en
Pages : 428
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Book Description
"Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy. Presents new research papers and state-of-the-art surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications. Furnishes incisive contribution by over 40 mathematicians representing renowned institutions in North and South America, Europe, and the Middle East."
Author: Pavel Drabek
Publisher: CRC Press
ISBN: 1000657779
Category : Mathematics
Languages : en
Pages : 205
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Book Description
Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping abreast of these developments is the goal of the regular meetings of nonlinear analysts held in the Czech Republic, the most recent of which formed the basis of this volume. The subject addressed by these authors is the theory of nonlinear differential equations, with focus on the quasilinear elliptic differential equations of the degenerate type.
Author: Youssef Jabri
Publisher: Cambridge University Press
ISBN: 9781139440813
Category : Mathematics
Languages : en
Pages : 390
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Book Description
This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.
Author: Eric Carlen
Publisher: American Mathematical Soc.
ISBN: 0821808613
Category : Mathematics
Languages : en
Pages : 234
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Book Description
The text offers a combination of certain emerging topics and important research advances in the area of differential equations. The topics range widely and include magnetic Schroedinger operators, the Boltzmann equations, nonlinear variational problems and noncommutative probability theory. The text is suitable for graduate and advanced graduate courses and seminars on the topic, as well as research mathematicians and physicists working in mathematical physics, applied mathematics, analysis and differential equations.
