PRÜFER TRANSFORMATION FOR THE p-LAPLACIAN

PRÜFER SUBSTITUTIONS ON A COUPLED SYSTEM INVOLVING THE p-LAPLACIAN

In this article, we employ a modified Prüfer substitution acting on a coupled system involving one-dimensional p-Laplacian equations. The basic properties for the initial valued problem and some estimates are obtained. We also derive an analogous Sturmian theory and give a reconstruction formula for the potential function.

Symplectic Difference Systems: Oscillation Theory and Hyperbolic Prüfer Transformation

Inverse nodal problem for p-Laplacian with two potential functions

In this study, inverse nodal problem is solved for the p-Laplacian operator with two potential functions. We present some asymptotic formulas which have been proved in [17,18] for the eigenvalues, nodal points and nodal lengths, provided that a potential function is unknown. Then, using the nodal points we reconstruct the potential function and its derivatives. We also introduce a solution of i...

Positive solution for Dirichlet‎ ‎$‎‎p(t)‎$‎-Laplacian BVPs

In this paper we provide‎ ‎existence results for positive solution to‎ ‎Dirichlet p(t)-Laplacian boundary value problems‎. ‎The sublinear and‎ ‎superlinear cases are considerd‎.

Infinitely Many Solutions for a Steklov Problem Involving the p(x)-Laplacian Operator

By using variational methods and critical point theory for smooth functionals defined on a reflexive Banach space, we establish the existence of infinitely many weak solutions for a Steklov problem involving the p(x)-Laplacian depending on two parameters. We also give some corollaries and applicable examples to illustrate the obtained result../files/site1/files/42/4Abstract.pdf