On radial solutions for Navier boundary eigenvalue problem with p-biharmonic operator

2010 ◽  
Author(s):  
Siham El Habib ◽  
Najib Tsouli
Keyword(s):  
Eigenvalue Problem ◽  
Biharmonic Operator ◽  
Radial Solutions ◽  
Boundary Eigenvalue

An eigenvalue problem for the biharmonic operator on ℤ2 -symmetric regions

2008 ◽  
Vol 77 (2) ◽  
pp. 424-442 ◽  
Author(s):  
Antônio L. Pereira ◽  
Marcone C. Pereira
Keyword(s):  
Eigenvalue Problem ◽  
Biharmonic Operator

Upper Spectral Bound of Biharmonic Operator Eigenvalue Problem by Bicubic Hermite Element

2012 ◽  
Vol 466-467 ◽  
pp. 430-434
Author(s):  
Shi Xian Ren ◽  
Yi Du Yang ◽  
Hai Bi
Keyword(s):  
Eigenvalue Problem ◽  
Upper Bound ◽  
Biharmonic Operator ◽  
Clamped Plate ◽  
Spectral Bound ◽  
Vibration Problem ◽  
Morley Element ◽  
Matlab Program

This paper uses the bicubic Hermite element to compute the first four eigenvalues of the vibration problem of clamped plate by Matlab program and gives upper bound of the exact eigenvalues. Combing Matlab experiments on Morley element for lower spectral bound we can provide a range of the exact eigenvalues of biharmonic operator more accurately.

Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings

2015 ◽  
Vol 4 (2) ◽  
pp. 135-151 ◽  
Author(s):  
Reginaldo Demarque ◽  
Olimpio H. Miyagaki
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Elliptic Problems ◽  
Continuous Functions ◽  
Existence Results ◽  
Compact Embedding ◽  
Biharmonic Operator ◽  
Radial Solutions ◽  
Sobolev Embeddings ◽  
Fourth Order Elliptic Equations

AbstractWe deal with a class of inhomogeneous elliptic problems involving the biharmonic operator Δ2u + V(|x|)|u|q-2u = Q(|x|)f(u), u ∈ D02,2(ℝN), where Δ2 is the biharmonic operator and V, Q are singular continuous functions. Compact embedding results are established and by using these facts some existence results are obtained.

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