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Boundary value problems for the Dunkl Laplacian

Chrouda M. B., Mabrouk K. E., Hassine K.

Probability and Mathematical Statistics

2018

Vol. 38, Fasc. 2

249--269

Let Δk be the Dunkl Laplacian on Rd associated with a reflection group W and a multiplicity function k. The purpose of this paper is to establish the existence and the uniqueness of a positive solution on the unit ball B of Rd to the following boundary value problem: Δku = φ(u) in B and u = f on ∂B: We distinguish two cases of nonnegative perturbation φ: trivial and nontrivial.

Mixed problem for some semilinear wave equation involving Bessel's operator

Long N., Dinh A., Binh D.

Demonstratio Mathematica

1999

Vol. 32, nr 1

77-94

Phragmen-Lindelof type theorems for some semilinear elliptic and parabolic equations

Celebi A., Kalantarov V., Tahamtani F.

Demonstratio Mathematica

1998

Vol. 31, nr 1

43-54

Phragmen-Lindelof type theorems for some classes of fourth order semilinear elliptic and se