Metric Based Upscaling for Elliptic Equation
Metric based upscaling for partial differential equations with a continuum of scales
... [62]. Other methods, like MsFEM, incorporate the fine scale features of the problems into basis elements. The coupling of small scales with coarse scales is then performed through a numerical formulation of the global ...
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Study Of A Hypothetical Metric Based On Vacuum Einstein Field Equation
... assumed equation for subtraction of real Schwarzschild and imaginary flat metrics that is used for discussion of the next ...flat metric is ...), based on the mathematics it does not interfere in ...
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The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor
... “The metric tensor for gravitational fields and the mathematical principles of Riemannian theoretical physics”, the general equation of motion in the gravitational field based upon Riemannian ...
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Topological arguments for an elliptic equation involving the fractional Laplacian
... In this paper, we restrict our attention to the case σ = . As in the Nirenberg problem associated to P g and P g , the question of prescribing -curvature can be formulated as a Nirenberg-type problem ...
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Symmetry breaking for an elliptic equation involving the fractional Laplacian.
... is based in the comparison of the energy levels for the radial and non-radial ground states (minimizers of the asso- ciated energy ...arguments based on cut-off ...
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Some results on the eigenvalue problem for a fractional elliptic equation
... proved the Faber–Krahn inequality in two ways for the first eigenvalue of the fractional Laplacian operator in bounded domains. A variational proof was provided, which seems to be simpler, based on the variational ...
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Existence and multiplicity of solutions for a fourth-order elliptic equation
... Inspired by the above references, the object of this article is to study existence and multiplicity of nontrivial solution of a fourth-order elliptic equation under some condi- tions on the function M(t) ...
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Compatibility conditions for the existence of weak solutions to a singular elliptic equation
... order elliptic operator which satisfies the maximum principle and g is positive and becomes singular uniformly in x as u → ...also based on the use of sub-supersolution ...
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Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition
... Correspondence should be addressed to Fanglei Wang, [email protected] Received 15 December 2008; Accepted 17 February 2009 Recommended by Zhitao Zhang In this paper, we establish two di ff erent existence results ...
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Gradient estimates and Liouville type theorems for a weighted nonlinear elliptic equation
... nonlinear elliptic equation on a smooth metric measure space (M, g, e –f dv): f u + au log u + bu = 0, where a, b are two real ...above equation must be constant under some suitable ...
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Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data
... The paper is organized as follows. In Section , we present the formulation of the Cauchy problem for the elliptic equation and propose a modified regularization method. The error estimate is given ...
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\(\operatorname{Spin}(7)\) structure equation and the vector elliptic Liouville equation
... two-dimensional elliptic Liouville equation [2] φ tt + φ ss = –e 2φ , (1) plays an important role in the modern field theory, namely in the strings theory, where the quantum Liouville field appears as a ...
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Existence Results for Nonlinear Anisotropic Elliptic Equation
... El Moumni, “ Existence results for nonlinear elliptic problems with lower order terms.“, In- ternational Journal of Evolution Equations (IJEE)., 4 , 1–20, 20149. Feo, “Existence and uniq[r] ...
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Elliptic Chiral Homology and Quantum Master Equation
... ▶ In [Zhu, 1994], Zhu studied the space of genus 1 conformal block (the 0-th elliptic chiral homology) and establish the modular invariance for certain class of VOA. ▶ Beilinson and Drin[r] ...
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On a fourth order elliptic equation with supercritical exponent
... 10. van der Vorst, RCAM: Fourth order elliptic equations with critical growth. C. R. Acad. Sci. Paris 320, 295-299 (1995) 11. Ebobisse, F, Ould Ahmedou, M: On a nonlinear fourth order elliptic ...
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Uniqueness and radial symmetry for an inverse elliptic equation
... Emamizadeh: Department of Mathematics, Iran University of Science and Technol- ogy, Narmak 16844, Tehran, Iran. Current address : Institute for Studies in Theoretical Physics and Mathema[r] ...
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Eigenvalue problems for a quasilinear elliptic equation on ℝN
... On various types of bounded domains, there is an extensive literature on eigenvalue problems and the picture for “the principal eigenpair” seems to be fairly complete. Papers on unbounded domains have appeared quite ...
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Radially Symmetric Solutions of a Nonlinear Elliptic Equation
... the equation has the closed form, positive singular solution w 1 4 − 2 N − 2 p − 1 /p − 1 2 1/p−1 r −2/p−1 , r > ...w equation into an autonomous ...autonomous equation. We then show how specific ...
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Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... (2013) Elliptic Partial Differential Equations (Existence and Regularity of Distributional Solutions). Linear and Semilinear Elliptic Equations[r] ...
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On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on
... Recommended by Martin Schechter We consider the existence of multiple solutions of the elliptic equation on R N with concave and convex nonlinearities. Copyright q 2009 Kuan-Ju Chen. This is an open access ...
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