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Search: authors:"Yanbin Sang"

6 papers found.
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Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term. The main tools adopted in our proofs are the concentration compactness principle and Nehari manifold.

Fixed point theorems with generalized altering distance functions in partially ordered metric spaces via w-distances and applications

In this paper, we establish some fixed point theorems with T-contractions and w-distances in partially ordered metric spaces. The main tool used in our proof is a generalized altering distance function. Our results can be applied directly to study multidimensional fixed point which covers the concepts of coupled, tripled, quadruple fixed point etc. Moreover, a Fredholm integral ...

Sign-changing solutions for asymptotically linear operator equations and applications

In this paper, by using the topological degree and fixed point index theory, the existence of three kinds of solutions (i.e., sign-changing solutions, positive solutions, and negative solutions) for asymptotically linear operator equations is discussed. The abstract results obtained here are applied to nonlinear integral and differential equations. MSC: 47H07, 47H10, 34B10, 34B15, ...

A class of φ-concave operators and applications

Fixed Point Theory and Applications A class of ϕ -concave operators and applications Yanbin Sang In this paper, by means of the concept of ϕ-concave operators, which was introduced by Li and Liang

Existence Results for Higher-Order Boundary Value Problems on Time Scales

By using the fixed-point index theorem, we consider the existence of positive solutions for the following nonlinear higher-order four-point singular boundary value problem on time scales , ; , ; , ; , , where , , , , , , , and is rd-continuous.

Existence and Uniqueness of Positive Solutions for Discrete Fourth-Order Lidstone Problem with a Parameter

This work presents sufficient conditions for the existence and uniqueness of positive solutions for a discrete fourth-order beam equation under Lidstone boundary conditions with a parameter; the iterative sequences yielding approximate solutions are also given. The main tool used is monotone iterative technique.