Multiple solutions for a weighted p-Laplacian problem
Electronic Journal of Differential Equations, 2022 Rohit Kumar, Abhishek Sarkar
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Inf-Sup Stable Space-Time Discretization of the Wave Equation Based on a First-Order-In-Time Variational Formulation. [PDF]
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Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle. [PDF]
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The mapping properties of fractional derivatives in weighted fractional Sobolev space
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Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space
In this paper, we consider the Laplace operator on the half-space with Dirichlet and Neumann boundary conditions. We prove that this operator admits a bounded $H^\infty$-calculus on Sobolev spaces with power weights measuring the distance to the boundary.
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Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. [PDF]
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Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]
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