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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The nonlinear N-membranes evolution problem [PDF]
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
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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Existence and nonexistence results for reaction-diffusion equations in product of cones
Hamidi Abdallah, Laptev Gennady
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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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Systems of semilinear evolution inequalities with temporal fractional derivative on the Heisenberg group [PDF]
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GENERALIZED MAXIMUM PRINCIPLES FOR SOME DIFFERENTIAL INEQUALITIES WITH APPLICATIONS
Far East Journal of Mathematical Sciences (FJMS), 2018In this paper we consider several types of differential equations and discuss the maximum principle for them. In general, the maximum principle tells us that the maximum value of the function, which is a solution of a differential equation, is attained ...
M. Almahameed
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In this paper, we first show a representation formula related to the generalized Greiner operator by an improved method. Then using the representation formula and L ∞ norm of the horizontal gradient, we establish Ostrowski type inequalities in the ball ...
Wang Shengjun, Dou Jing-bo
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