Glasnik Matematicki, Vol. 48, No. 2 (2013), 357-371.

INFINITELY MANY SOLUTIONS FOR A DIRICHLET BOUNDARY VALUE PROBLEM DEPENDING ON TWO PARAMETERS

Ghasem A. Afrouzi and Armin Hadjian

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
e-mail: afrouzi@umz.ac.ir

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
e-mail: a.hadjian@umz.ac.ir

Abstract.   In this paper, using Ricceri's variational principle, we prove the existence of infinitely many weak solutions for a Dirichlet doubly eigenvalue boundary value problem.

2010 Mathematics Subject Classification.   34B15, 35B38, 58E05.

Key words and phrases.   Doubly eigenvalue boundary value problem, Ricceri's variational principle, infinitely many solutions.

Full text (PDF) (free access)

DOI: 10.3336/gm.48.2.09

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