Search

Your search keyword '"Pi, Huirong"' showing total 10 results
Start Over Author "Pi, Huirong"
10 results on '"Pi, Huirong"'

9. Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields.

Author

Pi, Huirong and Wang, Chunhua

Subjects
*NONLINEAR equations, *ELECTROMAGNETIC fields, *CONTRACTIONS (Topology), *VARIATIONAL approach (Mathematics), *MATHEMATICAL complex analysis, *MATHEMATICAL programming
Abstract

In this paper, we are concerned with the existence of multi-bump solutions for a nonlinear Schrödinger equations with electromagnetic fields. We prove under some suitable conditions that for any positive integer m, there exists ε(m) > 0 such that, for 0 < ε < ε(m), the problem has an m-bump complex-valued solution. As a result, when ε → 0, the equation has more and more multi-bump complex-valued solutions. [ABSTRACT FROM PUBLISHER]

Published
2013
Full Text
View/download PDF

10. Multiple solutions for -harmonic type equations

Author

Deng, Yinbin and Pi, Huirong

Subjects
*MULTIPLICITY (Mathematics), *HARMONIC functions, *EXISTENCE theorems, *DIRICHLET problem, *SMOOTHING (Numerical analysis), *NONLINEAR theories, *CRITICAL point theory
Abstract

Abstract: In this paper, we establish the existence of multiple solutions for an equation involving a -harmonic operator, subject to Dirichlet boundary conditions in a bounded smooth open domain of , while the nonlinearity has a -sublinear growth at infinity. Using a three critical points theorem, we prove the existence of at least three distinct weak solutions in to this problem. [Copyright &y& Elsevier]

Published
2009
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results