In this article we deal with the existence questions to the nonlinear biharmonic systems. Using theory of monotone operators, we show the existence of a unique weak solution to the weighted biharmonic systems. We also ...

In this paper, we consider the bifurcation problem for the fractional Laplace equation urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0001 where urn:x-wiley:0025584X:media:mana201600250:mana201600250-math-0002 ...

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 ...

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 ...