Existence of one weak solution for p(X)-biharmonic equations involving a concave-convex nonlinearity

In the present paper, using variational approach and the theory of the variable exponent Lebesgue spaces, the existence of nontrivial weak solutions to a fourth order elliptic equation involving a p(x)-biharmonic operator and a concave-convex nonlinearity the Navier boundary conditions is obtained. © 2017, Drustvo Matematicara Srbije. All rights reserved

Maximal function and fractional integral associated with Laplace-Bessel differential operators on generalized Morrey spaces

In this work we study the boundedness of the maximal and fractional integral operators associated with Laplace-Bessel differential operators on generalized Morrey spaces. © 2022, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved