An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities | Zendy

Kanishka Perera | Zendy

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An existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities

Author(s) -

Kanishka Perera

Publication year - 2002

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2002.029

Subject(s) - mathematics , jumping , class (philosophy) , boundary value problem , critical point (mathematics) , homotopy , boundary (topology) , mathematical analysis , point (geometry) , variational method , nonlinear system , value (mathematics) , pure mathematics , geometry , physiology , artificial intelligence , computer science , biology , statistics , physics , quantum mechanics

We establish an existence result for a class of quasilinearelliptic boundary value problems with jumping nonlinearitiesusing variational arguments. First we calculate certain homotopygroups of sublevel sets of the asymptotic part of the variationalfunctional. Then we use these groups to show that the fullfunctional admits a linking geometry and hence a min-max criticalpoint.

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