We study here a class of quasilinear elliptic systems involving the p-Laplacian operator. Under some suitable assumptions on the nonlinearities, we show the existence result by using a fixed point theorem.

Yang–Mills theory in four dimensions is studied by using the Coulomb gauge. The Coulomb gauge Hamiltonian involves integration of matrix elements of an operator P built from the Laplacian and from a first-order differential operator. The operator P is studied from the point of view of spectral theory of pseudo-differential operators on compact Riemannian manifolds, both when self-adjointness ho...

Our purpose was to improve the sharpness of the coronary stent and lumen. We reconstructed volume rendering (VR) image and maximum intensity projection (MIP) images using the original image and a sharpened operator image with 8-neighbor Laplacian filter. The most suitable center number was 9, and the circumferential number was -1 on the sharpened operator image with 8-neighbor Laplacian filter....

We establish the existence of multiple solutions for a nonvariational elliptic systems involving p(x)-Laplacian operator. The approach combines methods sub–supersolution and Leray–Schauder topological degree.