Results 61 to 70 of about 3,785 (249)
Duality for Locally Compact Lipschitz Spaces
Rocky Mountain Journal of Mathematics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
, 2023 We say that Γ, the boundary of a bounded Lipschitz domain, is locally dilation invariant if, at each x∈Γ, Γ is either locally C1 or locally coincides (in some coordinate system centred at x) with a Lipschitz graph Γx such that Γx=αxΓx , for some αx∈(0,1)
Perfekt, Karl-Mikael +7 more
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz +2 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1 ...
C. Bereanu +2 more
doaj +1 more source
International School on Singularity Theory and Lipschitz Geometry
, 2020 This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory.
Pichon, Anne, Neumann, Walter
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley +1 more source
Locally Lipschitz solutions of a single conservation law in several space variables
, 1981 We consider the Cauchy problem for a single conservation law in several space variables. Letting u(x, t) denote the solution with initial data u0, we state necessary and sufficient conditions on u0 so that u(x, t) is locally Lipschitz continuous in the ...
Hoff, David
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
Abstract and Applied Analysis, 2013 We establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.
Kaimin Teng
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley +1 more source