In this note, we establish the existence of a positive solution and its semi-stability to the following class of biharmonic problems with logistictype nonlinearities (0.1) 2 Hnu = a( )u − f( , u) in u|@ = 0 = ...

We have established Adams-type inequality for biharmonic operator on Heisenberg group and proved the existence of solution to a biharmonic equation involving a singular potential and a nonlinearity satisfying critical and ...

In this paper, we show the existence of a classical solution to a class of fractional logistic equations in an open bounded subset with smooth boundary. We use the method of sub- and super-solutions with variational arguments ...

In this note, we establish a Caccioppoli-type inequality for biharmonic operators. We employ Picone’s identity for biharmonic operators to establish Caccioppoli-type inequality.

In this paper, we establish a nonlinear analogue of Picone’s identity for biharmonic operators on Heisenberg group. As an applications of Picone’s identity, we obtain Hardy-Rellich type inequality, Morse index, Caccioppoli ...

An hp-discontinuous Galerkin (DG) method is applied to a class of second order linear hyperbolic integro-differential equations. Based on the analysis of an expanded mixed type Ritz–Volterra projection, a priori hp-error ...

The incompressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations, the pressure-velocity equation and the concentration equation. In this paper, ...

Based on the analysis of Cockburn et al. [Math. Comp. 78 (2009), pp. 1-24] for a selfadjoint linear elliptic equation, we first discuss superconvergence results for nonselfadjoint linear elliptic problems using ...

Earthquake is one of the most devastating natural calamities that takes thousands of lives and leaves millions more homeless and deprives them of the basic necessities. Earthquake forecasting can minimize the death count ...

With the rapid increase and availability of seismic data, an automatic, transparent and regular way of earthquake hazard estimation strategy is highly desirable in many seismically active large geographical regions. In ...