Correction to: Nonlocal operators with local boundary conditions in higher dimensions

On a Higher Order Two Dimensional Thermoelastic System Combining a Local and Nonlocal Boundary Conditions

Boundary Value Problem for Second-order Differential Operators with Mixed Nonlocal Boundary Conditions

In this paper, we study a second order differential operator with mixed nonlocal boundary conditions combined weighting integral boundary condition with another two point boundary condition. Under certain conditions on the weighting functions and on the coefficients in the boundary conditions, called non regular boundary conditions, we prove that the resolvent decreases with respect to the spec...

Nonlocal Problems with Neumann Boundary Conditions

We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann conditions, all of them having a clear probab...

Positive solutions of nonlinear fourth order boundary value problems with local and nonlocal boundary conditions

We establish new existence results for multiple positive solutions of fourth order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many nonlocal boundary conditions, with a unified approach. Our method is to show that each boundary value problem can be written as the same type of pert...

Gauge Coupling Unification with Extra Dimensions and Correction due to Higher Dimensional Operators

We study the gauge coupling unification with extra dimensions. We take into account corrections due to the higher dimensional operators. We show the prediction of α3(MZ) is sensitive to such corrections, even if c < Φ > /M = O(0.01). We also discuss the b − τ Yukawa unification. Partially supported by the Academy of Finland (no. 44129). Recently, theories with large extra dimensions have been s...