Multiplicity of Solutions for Neumann Problems for Semilinear Elliptic Equations

An, Yukun; Suo, Hong-Min

doi:10.1155/2014/360581

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction2

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, this result was extended to some equations and systems; see [6][7][8][9][10]. In particular, Massa and Rossato [11] studied a nondegenerate elliptic system and two solutions were obtained by using Galerkin techniques.…”

Section: Introductionmentioning

confidence: 95%

See 1 more Smart Citation

The Neumann Problem for a Degenerate Elliptic System Near Resonance

Suo

2017

Advances in Mathematical Physics

Self Cite

View full text Add to dashboard Cite

This paper studies the following system of degenerate equationsand ] is the exterior normal vector on Ω. The coefficient function may vanish in Ω, ∈ (Ω) with > /(2 − ), > /2. We show that the eigenvalues of the operator −div( ( )∇ ) + ( ) are discrete. Secondly, when the linear part is near resonance, we prove the existence of at least two different solutions for the above degenerate system, under suitable conditions on ℎ 1 , ℎ 2 , 1 , and 2 .

show abstract

Section: Introductionmentioning

confidence: 95%

“…In recent decades, many kinds of perturbed problems were studied by many scholars, such as [1][2][3][4][5][6][7][8][9][10][11]. Here, we want to say that the authors in [5] studied the following Dirichlet boundary problem: −Δ = ± ( , ) + ℎ ( ) , ∈ Ω, = 0, ∈ Ω.…”

Section: Introductionmentioning

confidence: 99%