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[null,"1.","Record Nr.",null,"UNINA9910808074203321"]
[null,null,"Autore",null,"Mselati Benoît <1977->"]
[null,null,"Titolo",null,"Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation / / Benoît Mselati"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2004"]
[{"$nulls":4},"©2004"]
[null,null,"ISBN",null,"1-4704-0396-X"]
[null,null,"Descrizione fisica",null,"1 online resource (146 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 168, Number 798"]
[null,null,"Disciplina",null,"515/.353"]
[null,null,"Soggetti",null,"Differential equations, Elliptic"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"March 2004, Volume 168, Number 798 (third of 4 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction and statement of the results\"\"; \"\"Chapter 1. An analytic approach to the equation Î?u = u[sup(2)]\"\"; \"\"1.1. Parametrization near the boundary of the domain\"\"; \"\"1.2. Basic facts about linear elliptic PDE's\"\"; \"\"1.3. The equation Î?u = u[sup(2)]\"\"; \"\"Chapter 2. A probabilistic approach to the equation Î?u = u[sup(2)]\"\"; \"\"2.1. Linear elliptic PDE's and Brownian motion\"\"; \"\"2.2. The Brownian snake\"\"; \"\"2.3. Stochastic boundary values\"\"; \"\"2.4. Fine topology and fine trace\"\"; \"\"2.5. Two key problems\"\"; \"\"Chapter 3. Lower bounds for solutions\"\""]
[{"$nulls":4},"\"\"Main results proved in this chapter\"\"\"\"3.1. Upper bounds for u[sub(K)] in terms of the boundary capacity of K\"\"; \"\"3.2. Lower bounds for cr-moderate solutions\"\"; \"\"3.3. Synthesis\"\"; \"\"Chapter 4. Upper bounds for solutions\"\"; \"\"Main results proved in this chapter\"\"; \"\"4.1. The case of a \"\"strongly star-shaped domain\"\"\"\"; \"\"4.2. The case of a general domain\"\"; \"\"4.3. Proof of Proposition 4.1\"\"; \"\"Chapter 5. The classification and representation of the solutions of Î?u = u[sup(2)] in a domain\"\"; \"\"5.1. Representation of solutions\"\"; \"\"5.2. Admissible traces and classification results\"\""]
[{"$nulls":4},"\"\"Appendix A. Technical results\"\"\"\"A.1. Parametrization near the boundary\"\"; \"\"A.2. Estimates for the Green function\"\"; \"\"A.3. The auxiliary function p\"\"; \"\"A.4. Proof of Lemma 2.20\"\"; \"\"Appendix. Bibliography\"\"; \"\"Notation index\"\"; \"\"Subject index\"\"; \"\"A\"\"; \"\"B\"\"; \"\"C\"\"; \"\"D\"\"; \"\"E\"\"; \"\"F\"\"; \"\"G\"\"; \"\"H\"\"; \"\"I\"\"; \"\"L\"\"; \"\"M\"\"; \"\"N\"\"; \"\"P\"\"; \"\"R\"\"; \"\"S\"\"; \"\"T\"\""]