VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations
    Motreanu, Dumitru, 1949- ; Motreanu, Viorica Venera ; Papageorgiou, Nikolaos, 1958-
    The authors consider the problem ▫$$ -\text {div}(\vert \nabla u\vert ^{p-2}\nabla u) = f(x,u) \text { in } \Omega,\qquad u=0 \text{ on } \partial\Omega, $$▫ where ▫$\Omega \subset \mathbb{R}^N$▫ is ... a bounded domain and ▫$f$▫ is a Carathéodory function. By using degree theoretic arguments based on the degree map for operators of type ▫$(S)_+$▫ they prove some results concerning the existence of multiple solutions of constant sign. The hypotheses on ▫$f$▫ consider both: the case of nonresonance below the first eigenvalue, and nonresonance from above of the first eigenvalue.
    Vir: Manuscripta mathematica. - ISSN 0025-2611 (Vol. 124, iss. 4, 2007, str. 507-531)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2007
    Jezik - angleški
    COBISS.SI-ID - 18084953

vir: Manuscripta mathematica. - ISSN 0025-2611 (Vol. 124, iss. 4, 2007, str. 507-531)
loading ...
loading ...
loading ...