Infinitely many bounded solutions for the <Emphasis Type="Italic">p</Emphasis>-Laplacian with nonlinear boundary conditions |
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| Authors: | Francesca Faraci Antonio Iannizzotto Csaba Varga |
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| Institution: | 1.Department of Mathematics and Computer Sciences,University of Catania,Catania,Italy;2.Faculty of Mathematics and Computer Sciences,Babe?-Bolyai University,Cluj-Napoca,Romania |
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| Abstract: | By applying a method due to Saint Raymond, we prove the existence of infinitely many weak solutions for a quasilinear elliptic partial differential equation, involving the p-Laplacian operator, coupled with a nonlinear boundary condition. Our main assumption is a suitable oscillatory behaviour of the nonlinearity either at infinity or at zero. |
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