Non-critical dimensions for critical problems involving fractional Laplacians [PDF]
arXiv, 2013 We study the Brezis--Nirenberg effect in two families of noncompact boundary value problems involving Dirichlet-Laplacian of arbitrary real order $m>0$.
arxiv
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]
Heliyon, 2023 Berrone S +3 more
europepmc +1 more source
Multilinear Embedding and Hardy's Inequality [PDF]
arXiv, 2013 Multilinear trace restriction inequalities are obtained for Hardy's inequality. More generally, detailed development is given for new multilinear forms for Young's convolution inequality, and a new proof for the multilinear Hardy-Littlewood-Sobolev inequality, and its realization on hyperbolic space.
arxiv
Poly(dA:dT) Tracts Differentially Modulate Nucleosome Remodeling Activity of RSC and ISW1a Complexes, Exerting Tract Orientation-Dependent and -Independent Effects. [PDF]
Int J Mol Sci, 2023 Amigo R +4 more
europepmc +1 more source
Integrals of convex functions in the gradients on fractals [PDF]
arXiv, 2013 In this paper, I describe the construction of certain functional integrals in the gradient on finitely ramified fractals, which have a sort of self-similarity property.
arxiv
A Simplified Convex Optimization Model for Image Restoration with Multiplicative Noise. [PDF]
J Imaging, 2023 Che H, Tang Y.
europepmc +1 more source
A fractional eigenvalue problem in $\mathbb{R}^N$ [PDF]
arXiv, 2015 We prove that a linear fractional operator with an asymptotically constant lower order term in the whole space admits eigenvalues.
arxiv
Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
BIT Numer Math, 2022 Boehm U, Cox S, Gantner G, Stevenson R.
europepmc +1 more source
Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations [PDF]
arXiv, 2016 This paper concerns with the existence of solitons, namely stable solitary waves, for the Benjamin-Ono and the fractional KdV equations.
arxiv
Global compactness results for nonlocal problems [PDF]
arXiv, 2016 We obtain a Struwe type global compactness result for a class of nonlinear nonlocal problems involving the fractional $p-$Laplacian operator and nonlinearities at critical growth.
arxiv