Maximum principles for boundary-degenerate second-order linear elliptic differential operators
, 2013 We prove weak and strong maximum principles, including a Hopf lemma, for smooth subsolutions to equations defined by linear, second-order, partial differential operators whose principal symbols vanish along a portion of the domain boundary.
Feehan, Paul M. N.
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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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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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Quantitative Hardy inequality for magnetic Hamiltonians
In this paper we present a new method of proof of Hardy type inequalities for two-dimensional quantum Hamiltonians with a magnetic field of finite flux.
Fanelli, Luca, Kovarik, Hynek
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