Best constants in bipolar L^p-Hardy-type Inequalities
, 2022 In this work we prove sharp $L^p$ versions of multipolar Hardy inequalities in the case of a bipolar potential and $p\geq 2$, which were first developed in the case $p=2$ by Cazacu (CCM 2016) and Cazacu&Zuazua (Studies in phase space analysis with ...
Cazacu, Cristian, Rugină, Teodor
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Weak solutions of functional differential inequalities with first-order partial derivatives
Journal of Inequalities and Applications, 2011 The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first-order partial functional differential equations. The unknown function is the functional variable in equation and inequalities, and the partial
Kamont Zdzisław
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Strong maximum principles for infinite implicit parabolic systems [PDF]
, 2014 In this paper we prove a theorem on strong maximum principles for infinite implicit systems of parabolic differential-functional inequalities together with nonlocal inequalities with functionals in (n + 1)-dimensional sets more general than the ...
Byszewski, Ludwik
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Higher order evolution inequalities involving Leray-Hardy potential singular on the boundary [PDF]
We consider a higher order (in time) evolution inequality posed in the half ball, under Dirichlet type boundary conditions. The involved elliptic operator is the sum of a Laplace differential operator and a Leray-Hardy potential with a singularity ...
Jleli M., Samet B., Vetro C.
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Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities [PDF]
, 1994 summary:The local boundedness of weak solutions to variational inequalities (obstacle problem) with the linear growth condition is obtained. Consequently, an analogue of a theorem by Reshetnyak about a.e\.
Ježková, Jana
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The nonlinear N-membranes evolution problem [PDF]
, 2008 The parabolic N-membranes problem for the p-Laplacian and the complete order constraint on the components of the solution is studied in what concerns the approximation, the regularity and the stability of the variational solutions.
Rodrigues, José Francisco +2 more
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A minimization problem involving a fractional Hardy-Sobolev type inequality
, 2019 In this work, we obtain an existence of nontrivial solutions to a minimization problem involving a fractional Hardy-Sobolev type inequality in the case of inner singularity. Precisely, for $\lambda>0$ we analyze the attainability of the optimal constant $
Ritorto, Antonella
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Sobolev Inequality on Manifolds With Asymptotically Nonnegative Bakry-\'Emery Ricci Curvature
In this paper, inspired by [4, 9], we prove a Sobolev inequality on manifolds with density and asymptotically nonnegative Bakry-\'Emery Ricci curvature.Comment: To appear in Bulletin of the London Mathematical ...
Dong, Yuxin, Lin, Hezi, Lu, Lingen
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Weighted Hardy-Rellich type inequalities: improved best constants and symmetry breaking
When studying the weighted Hardy-Rellich inequality in $L^2$ with the full gradient replaced by the radial derivative the best constant becomes trivially larger or equal than in the first situation. Our contribution is to determine the new sharp constant
Cazacu, Cristian, Fidel, Irina
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Existence and nonexistence results for reaction-diffusion equations in product of cones
Open Mathematics, 2003 Hamidi Abdallah, Laptev Gennady
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