Results 31 to 40 of about 909 (87)
From Sobolev Inequality to Doubling [PDF]
In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying ...
Korobenko, Lyudmila +2 more
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Hopf's lemma for a class of singular/degenerate PDE-s
This paper concerns Hopf's boundary point lemma, in certain $C^{1,Dini}$-type domains, for a class of singular/degenerate PDE-s, including $p$-Laplacian.
Mikayelyan, Hayk, Shahgholian, Henrik
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Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation
The present work devoted to the finding explicit solution of a boundary problem with the Dirichlet-Neumann condition for elliptic equation with singular coefficients in a quarter of ball. For this aim the method of Green's function have been used. Since,
Agostinelli +26 more
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On the stability of standing waves of Klein-Gordon equations in a semiclassical regime
We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.Comment: 9 ...
______ +41 more
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In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
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On certain nonlinear elliptic systems with indefinite terms
We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj
Double phase anisotropic variational problems involving critical growth
In this study, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions-type concentration-compactness principle and its variant at infinity for the solution space ...
Ho Ky, Kim Yun-Ho, Zhang Chao
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A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p
We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
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Nonsmooth viscosity solutions of elementary symmetric functions of the complex Hessian
In this paper we prove the existence of nonsmooth viscosity solutions for Dirichlet problems involving elementary symmetric functions of the eigenvalues of the complex ...
Guidi, Chiara +2 more
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Absolute continuity of the best Sobolev constant of a bounded domain
Let $\lambda_{q}:=\inf{\Vert\nabla u\Vert_{L^{p}(\Omega)}^{p}/\Vertu\Vert_{L^{q}(\Omega)}^{p}:u\in W_{0}^{1,p}(\Omega)\setminus{0}} $, where $\Omega$ is a bounded and smooth domain of $\mathbb{R}^{N ...
Antonietti +10 more
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