Results 31 to 40 of about 696 (83)
Existence of four solutions for the elliptic problem with nonlinearity crossing one eigenvalue
Journal of Inequalities and Applications, 2013 We investigate the multiplicity of the weak solutions for the nonlinear elliptic boundary value problem. We get a theorem which shows the existence of at least four weak solutions for the asymptotically linear elliptic problem with Dirichlet boundary ...
Tacksun Jung, Q. Choi
semanticscholar +2 more sources
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
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Advances in Nonlinear Analysis, 2021 In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El +2 more
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On the initial value problem for a partial differential equation with operator coefficients
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 103-111, 1980., 1980 In the present work it is studied the initial value problem for an equation of the form where L is an elliptic partial differential operator and (Lj : j = 1, …, k) is a family of partial differential operators with bounded operator coefficients in a suitable function space. It is found a suitable formula for solution.
Mahmoud M. El-Borai
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A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems
Moroccan Journal of Pure and Applied Analysis, 2017 The major emphasis of this work is the derivation of a posteriori error estimates for the mixed finite volume discretization of second-order elliptic equations. The estimates are established for meshes consisting of simplices on unstructured grids.
Benkhaldoun Fayssal +2 more
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On Weights Which Admit Harmonic Bergman Kernel and Minimal Solutions of Laplace’s Equation
Annales Mathematicae Silesianae, 2022 In this paper we consider spaces of weight square-integrable and harmonic functions L2H(Ω, µ). Weights µ for which there exists reproducing kernel of L2H(Ω, µ) are named ’admissible weights’ and such kernels are named ’harmonic Bergman kernels’. We prove
Żynda Tomasz Łukasz
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Regularity properties of optimal transportation problems arising in hedonic pricing models [PDF]
, 2011 We study a form of optimal transportation surplus functions which arise in hedonic pricing models. We derive a formula for the Ma-Trudinger-Wang curvature of these functions, yielding necessary and sufficient conditions for them to satisfy (A3w).
Brendan Pass
semanticscholar +1 more source
EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS
, 2016 . In this paper, we consider the following Schro¨dinger-Kirch-hoff-type equationsa+ bZ R N (|∇u| 2 + V(x)|u| 2 )dx[−∆u+ V(x)u] = f(x,u), in R N .Under certain assumptions on V and f, some new criteria on the exis-tence and multiplicity of nontrivial ...
Haibo Chen, Hongliang Liu, Liping Xu
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Quantitative parabolic regularity à la De Giorgi
, 2018 We deal with the De Giorgi Hölder regularity theory for parabolic equations with rough coefficients. We give a quantitative proof of the interior Hölder regularity of solutions of parabolic equations using De Giorgi method.
Jessica Guerand
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Sharp Hardy Identities and Inequalities on Carnot Groups
Advanced Nonlinear Studies, 2021 In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
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