Results 301 to 307 of about 35,592 (307)

The $$p-$$Laplacian

2018
This provides a small selection of the enormous amount of information now available for the p–Laplacian. The existence of a solution of the Dirichlet problem is proved, together with a number of results concerning eigenvalues, including a version of the Courant nodal domain theorem.
W. Desmond Evans, David E. Edmunds
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Mixed eigenvalues of p-Laplacian

Frontiers of Mathematics in China, 2015
The mixed principal eigenvalue of p -Laplacian (equivalently, the optimal constant of weighted Hardy inequality in Lp space) is studied in this paper. Several variational formulas for the eigenvalue are presented. As applications of the formulas, a criterion for the positivity of the eigenvalue is obtained.
Ling-Di Wang, Ling-Di Wang, Yuhui Zhang, Mu-Fa Chen   +3 more
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Existence and nonuniqueness for the p-laplacian

Communications in Partial Differential Equations, 1987
(1987). Existence and nonuniqueness for the p-laplacian. Communications in Partial Differential Equations: Vol. 12, No. 12, pp. 126-202.
I. Peral Alonso, J. García Azorero
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$p$ -Laplacian Regularization for Scene Recognition

IEEE Transactions on Cybernetics, 2019
The explosive growth of multimedia data on the Internet makes it essential to develop innovative machine learning algorithms for practical applications especially where only a small number of labeled samples are available. Manifold regularized semi-supervised learning (MRSSL) thus received intensive attention recently because it successfully exploits ...
Weifeng Liu, Xueqi Ma, Yicong Zhou, Dapeng Tao, Jun Cheng   +4 more
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Eigenvalue problems for perturbed p‐Laplacians

AIP Conference Proceedings, 2010
This main subject of this paper is the problem of the existence of eigenvectors and a dispersion analysis of a class of multi parameter eiegen‐value problems for perturbed p‐Laplacians. This paper is particularly, devoted to the problems of describing the eigen‐parameters.
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The Case of p-Laplacian Operator

2018
We are interested in quasilinear elliptic problems over a half-space of the form $$\displaystyle\left \{ \begin {array}{l}\Delta _p u+f(u)=0 \mbox{ in } \mathbb {R}_+\times \mathbb {R}^{N-1},\\ u(0, x_2,\ldots , x_N)=u_0(x_2,\ldots , x_N), \end {array} \right .$$ and similar problems over a quarter-space $$\displaystyle\left \{ \begin {array}
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A Comparison Principle for the p-Laplacian

Elliptic and Parabolic Problems, 2002
Itai Shafrir, Arkady Poliakovsky
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