In this paper we establish some results of existence infinitely many solutions for an elliptic equation involving the p-biharmonic and p-Laplacian operators coupled with Navier boundary conditions where nonlinearities depend on two real parameters do not satisfy any symmetric condition. The nature approach is variational main tool abstract result Ricceri. novelty in application use a class test...

In this article, a Picone-type identity for the weighted p-biharmonic operator is established and comparison results for a class of half-linear partial differential equations of fourth order based on this identity are derived.

ed actuation: Inflation by force in normal direction Actuation location: applied to membrane Actuation type: PZ (force in local z-direction) Support condition: 1 x Fixed support (YP = PX + PZ) 1 x Pinned support (PP = PX + PY + PZ)

We prove an apriori estimate in Morrey spaces for both intrinsic and extrinsic biharmonic maps into spheres. As applications, we prove an energy quantization theorem for biharmonic maps from 4-manifolds into spheres and a partial regularity for stationary intrinsic biharmonic maps into spheres. x

In an arbitrary bounded 2-D domain, a singular perturbation approach is developed to analyze the asymptotic behavior of several biharmonic linear and nonlinear eigenvalue problems for which the solution exhibits a concentration behavior either due to a hole in the domain, or as a result of a nonlinearity that is non-negligible only in some localized region in the domain. The specific form for t...

Abstract We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. also sharp estimates lower order Steklov problem and Laplacian, which directly implies two Reilly-type inequalities corresponding first nonzero eigenvalue.

In this paper a new meshless method for eigenproblems with Laplace and biharmonic operators in simply and multiply connected domains is presented. The solution of an eigenvalue problem is reduced to a sequence of inhomogeneous problems with the differential operator studied. These problems are solved using the method of fundamental solutions. The method presented shows a high precision in simpl...

We investigate biharmonic submanifolds of the product of two space forms. We prove a necessary and sufficient condition for biharmonic submanifolds in these product spaces. Then, we obtain mean curvature estimates for proper-biharmonic submanifold of a product of two unit spheres. We also prove a non-existence result in the case of the product of a sphere and a hyperbolic space.

Phox homology (PX) domains, which have been identified in a variety of proteins involved in cell signaling and membrane trafficking, have been shown to interact with phosphoinositides (PIs) with different affinities and specificities. To elucidate the structural origin of diverse PI specificities of PX domains, we determined the crystal structure of the PX domain from phosphoinositide 3-kinase ...