Počet záznamů: 1
Smooth bifurcation for a Signorini problem on a rectangle
- 1.
SYSNO ASEP 0377965 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve SCOPUS Název Smooth bifurcation for a Signorini problem on a rectangle Tvůrce(i) Eisner, J. (CZ)
Kučera, Milan (MU-W) RID, SAI, ORCID
Recke, L. (DE)Zdroj.dok. Mathematica Bohemica. - : Matematický ústav AV ČR, v. v. i. - ISSN 0862-7959
Roč. 137, č. 2 (2012), s. 131-138Poč.str. 8 s. Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova Signorini problem ; smooth bifurcation ; variational inequality Vědní obor RIV BA - Obecná matematika CEP IAA100190805 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) EID SCOPUS 84870212928 Anotace We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the boundary. We describe smooth branches of smooth nontrivial solutions bifurcating from the trivial solution branch in eigenvalues of the linearized problem. In particular, the contact sets of these nontrivial solutions are intervals which change smoothly along the branch. The main tools of the proof are first a certain local equivalence of the unilateral BVP to a system consisting of a corresponding classical BVP and of two scalar equations (which determine the ends of the contact intervals), and secondly an application of the classical Crandall-Rabinowitz type local bifurcation techniques (scaling and application of the Implicit Function Theorem) to that system. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2013
Počet záznamů: 1