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Estimates of the principal eigenvalue of the p-Laplacian
We provide estimates from below and from above for the principal eigenvalue of the p-Laplacian on a bounded domain. We apply these estimates to study the asymptotic behavior of the principal eigenvalue for p ? +oo....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Estimates of the principal eigenvalue of the p-biharmonic operator
We provide estimates from below and from above for the principal eigenvalue of the p-biharmonic operator on a bounded domain with the Navier boundary conditions. We apply these estimates to study the asymptotic behavior of the p...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Estimates of the Principal Eigenvalue of the p-Laplacian and the p-Biharmonic Operator
We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet p-Laplacian and the Navier p-biharmonic operator on a ball of radius $R$ in $R^N$ and its asymptotics for p approaching 1 and infinity....
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Asymptotics for the principal eigenvalue of the p-Laplacian on the ball as p approaches 1
Using the estimates of the principal eigenvalue of the p-Laplacian on the ball from below and from above, we provide its asymptotic analysis as p approaches 1....
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Principal eigenvalue of p-Laplacian operator in exterior domain
We consider quasilinear eigenvalue problem on exterior domain. We prove the existence of the principal eigenvale and eigenfunction. We prove different properties of the eigenfunction including the decay property at infinity....
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Asymptotics for the principal eigenvalue of the p-biharmonic operator on the ball as p approaches 1
Using the estimates of the principal eigenvalue of the p-biharmonic operator on the ball from below and from above, we provide its asymptotic analysis as p approaches 1....
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic
We present a numerical algorithm for computing rigorous upper and lower estimates of the principal eigenvalue of the p-Laplacian. To control all possible errors including the rounding errors of the computer arithmetic, we use the in...
Applied mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The first eigenvalue and eigenfunction of a nonlinear elliptic system
In this paper, we study the first eigenvalue of a nonlinear elliptic system involving p-Laplacian as the differential operator. The principal eigenvalue. Then, a numerical algorithm is developed to approximate the princ...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Quasilinear eigenvalue problems with singular weights for the p-Laplacian
In this paper we study quasilinear homogeneous eigenvalue problem with the p-Laplacian involving singular weights. We work on a bounded domain with Lipschitzian boundary and the weights are negative powers of the distance from the boundary. ...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Spectral Optimization for Singular Schrodinger Operators
For several classes of singular Schrodinger operators which can be formally written as -Delta - alpha delta (x - Gamma) we discuss the problem of optimization of their principal eigenvalue with respect to the shape of the interactio...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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