On a Class of Nonlinear Elliptic Problems with Neumann Boundary Conditions Growing Like a Power | Zendy

Michel Chipot | Zendy; F. Voirol | Zendy

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On a Class of Nonlinear Elliptic Problems with Neumann Boundary Conditions Growing Like a Power

Author(s) -

Michel Chipot,

F. Voirol

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/653

Subject(s) - neumann boundary condition , class (philosophy) , nonlinear system , power (physics) , boundary value problem , mathematics , boundary (topology) , mathematical analysis , physics , computer science , quantum mechanics , artificial intelligence

One investigates the issue of existence and number of solutions for the problem LXu=au" in fl u=O on lo, au —=u • on r1 On where F0 and F 1 are two parts of the boundary of the open set Q. In dimension one we are able to find all the solutions to the problem. In higher dimension we give for different solutions depending on p,q and Q existence and non-existence results.

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