Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian

Tadeusz Kulczycki; Robert Stańczy

doi:10.3934/dcdsb.2014.19.2581

Article Contents

2014, Volume 19, Issue 8: 2581-2591. Doi: 10.3934/dcdsb.2014.19.2581

This issue Previous Article The existence of a solution for Dirichlet boundary value problem for a Duffing type differential inclusion Next Article Periodic solutions to differential equations with a generalized p-Laplacian

Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian

Tadeusz Kulczycki^1, and
Robert Stańczy^2,

1.
Instytut Matematyki i Informatyki, Politechnika Wroc lawska, ul. Wybrzeże Wyspiańskiego 27, 50-370 Wrocław
2.
Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław

Received: October 31, 2013

Revised: December 31, 2013

Published: September 2014

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Abstract

The existence of at least two solutions to superlinear integral equation in cone is proved using the Krasnosielskii Fixed Point Theorem. The result is applied to the Dirichlet BVPs with the fractional Laplacian.

Keywords:

Mathematics Subject Classification: Primary: 35Q, 35J66, 35R11.

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References

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