On critical condition for a weighted integral system with negative exponents

On a Class of Singular Hyperbolic Equation with a Weighted Integral Condition

In this paper, we study a mixed problem with a nonlocal condition for a class of second order singular hyperbolic equations. We prove the existence and uniqueness of a strong solution. The proof is based on a priori estimate and on the density of the range of the operator generated by the studied problem.

Critical Exponents for a RNPS on T

The uniform model is a reversible interacting particle system that evolves on the homogeneous tree. Occupied sites become vacant at rate one provided the number of occupied neighbors does not exceed one. Vacant sites become occupied at rate times the number of occupied neighbors. On the binary tree, it has been shown that the survival threshold c is 1=4. In particular, for 1=4, the expected ext...

ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

In this paper, we consider the existence of a non-trivial weaksolution to a quasilinear elliptic system involving critical Hardyexponents. The main issue of the paper is to understand thebehavior of these Palais-Smale sequences. Indeed, the principaldifficulty here is that there is an asymptotic competition betweenthe energy functional carried by the critical nonlinearities. Thenby the variatio...

Assessment of Critical Condition for Rill Initiation on Degraded Hillslope

Generally, the evaluation and assessment critical condition of rill formation are useful for a better understanding of soil erosion processes. The inherence characteristics of soils, which have much dynamic variations on the hill-slopes and are affected by rill formation, are the soil critical shear stress and soil erodibility factors. This study aims to assess experimental rill incision thre...

On Three-point Boundary Value Problem with a Weighted Integral Condition for a Class of Singular Parabolic Equations