Results 71 to 80 of about 3,540 (98)
Normalized solutions for the Choquard equations with critical nonlinearities
Advances in Nonlinear AnalysisThis study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
doaj +1 more source
Analyticity of the density of electronic wavefunctions [PDF]
Ark. Math. 42 (2004), 87-106, 2002 We prove that the electronic densities of atomic and molecular eigenfunctions are real analytic in ${\mathbb R}^3$ away from the nuclei.
arxiv
Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class [PDF]
arXiv, 2008 We discuss the microlocal Gevrey smoothing effect for the Schr\"odinger equation with variable coefficients via the propagation property of the wave front set of homogenous type. We apply the microlocal exponential estimates in a Gevrey case to prove our result.
arxiv
Nontrivial solutions for resonance quasilinear elliptic systems
Advances in Nonlinear AnalysisWe establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino +2 more
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Regularity theory for nonlinear integral operators [PDF]
arXiv, 2010 This article is dedicated to the proof of the existence of classical solutions for a class of non-linear integral variational problems. Those problems are involved in nonlocal image and signal processing.
arxiv
Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth
Advances in Nonlinear AnalysisWe consider the functional ℱ(u)≔∫Ωf(x,Du(x))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }f\left(x,Du\left(x)){\rm{d}}x, where f(x,z)f\left(x,z) satisfies a (p,q)\left(p,q)-growth condition with respect to zz and can be ...
De Filippis Filomena +2 more
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A note on the proof of Hölder continuity to weak solutions of elliptic equations [PDF]
arXiv, 2010 By borrowing ideas from the parabolic theory, we use a combination of De Giorgi's and Moser's methods to give some remarks on the proof of H\"older continuity of weak solutions of elliptic equations.
arxiv
The Expected Time to End the Tug-of-War in a Wedge [PDF]
arXiv, 2010 Using a solution of a nonhomogeneous partial differential equation involving the p- Laplacian, we study the finiteness of the expected time to end the tug-of-war in a wedge.
arxiv
Hölder gradient estimates for a class of singular or degenerate parabolic equations
Advances in Nonlinear Analysis, 2017 We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
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The higher integrability of weak solutions of porous medium systems
Advances in Nonlinear Analysis, 2018 In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.
Bögelein Verena +3 more
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