laplace operator
Existence of Weak Solutions for a Nonlocal Problem Involving the p(x) Laplace Operator
... Keywords px-Laplace operator, p x-Kirchhoff-type equations, variable exponent Sobolev spaces, variational method, mountain pass theorem, Ekeland variational principle MSC: 35D05; 35J60; 3[r] ...
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Riesz Means of Dirichlet Eigenvalues for the Sub Laplace Operator on the Engel Group
... Riesz Means of Dirichlet Eigenvalues for the Sub-Laplace Operator on the Engel Group Jingjing Xue Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, China E[r] ...
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Positive solutions to n dimensional \(\alpha {1}+\alpha {2}\) order fractional differential system with p Laplace operator
... In this paper, we study an n-dimensional fractional differential system with p-Laplace operator, which involves multi-strip integral boundary conditions. By using the Leggett–Williams fixed point theorem, the ...
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Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator
... The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the p ( x )-Laplace operator with Neumann boundary condition. The technical approach is ...
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Absolute Monotonicity of Functions Related To Estimates of First Eigenvalue of Laplace Operator on Riemannian Manifolds
... [12] P. Li and S. T. Yau, Estimates of eigenvalues of a compact Riemannian manifold, Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), 205–239, Proc. Sympos. ...
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Existence Results for a Nonlocal Problem Involving the p Laplace Operator
... p-Laplace operator is very popular in nonlinear analysis and appears particularly in describing the behavior of compressible fluid in a homogeneous isotropic rigid porous medium (see ...
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12. Harmonic Analysis Associated with the Generalized Dunkl-Bessel-Laplace Operator
... Mourou, Transmutation Operators Associated with a Bessel Type Op-erator on The Half Line and Certain of Their Applications, Tamsui Oxford Journal of Information and Mathematical Scienc[r] ...
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Constrained and unconstrained rearrangement minimization problems related to the p Laplace operator
... which is the one phase obstacle problem for the p-Laplacian operator. Through a private com- munication with H. Shahgholian, we found that many questions related to the free boundary of (3.19) are yet to be ...
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9. A shape reconstruction problem with the Laplace operator
... In section 2, we establish the shape optimization results. And we prove the nec- essary conditions of optimality that is the existence of Lagrange multiplier.Section 3 is devoted to auxiliary lemmas based on maximum ...
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Direct and inverse problem for geometric perturbation of the Laplace operator in a strip
... application related to the above model problem are described, for example, in [1, 11] (see also the references therein). Let us mention the articles [2, 5, 10, 15, 17] on the inverse boundary value problems for the ...
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Improving the Sharpness of Digital Images Using a Modified Laplacian Sharpening Technique
... Abstract ⎯ Many imaging systems produce images with deficient sharpness due to different real limitations. Hence, various image sharpening techniques have been used to improve the acutance of digital images. One of such ...
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Existence of multiple positive solutions for nonhomogeneous fractional Laplace problems with critical growth
... positive minimal solution for all γ ∈ (0, γ ∗ ] and admits no positive solution for γ > γ ∗ . We prove Theorem 1.1 by the method of monotonic iteration, also known as the super and subsolution method, which is a basic ...
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On the spectrum of the negative Laplacian for general doubly connected bounded domains
... This paper is devoted to asymptotic formulas for functions related with the spectrum of the standard Laplace operator in two and three dimensional bounded doubly connected domains with i[r] ...
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Estimates for Resonant Frequencies Under Boundary Deformation in Multi-dimensional Space
... and Lamberti have developed in [13] some preliminary abstract results for the dependence of the eigenvalues upon perturbation. Their applications to the Dirichlet eigenvalue problem for the Laplace operator ...
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Schrödinger Operators on Graphs and Branched Manifolds
... the operator, originally defined on smooth functions with supports, not contained in the branch points ...the Laplace operator on the space of the functions defined on a branched ...of ...
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Operator theory on spectrum of discrete laplace beltrami operator riemannian metric
... Beltrami operator plays a fundamental role in Riemannian geometric ...discrete Laplace operator- Discrete Laplace – Beltrami operators on triangulated surface meshes span the entire spectrum ...
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Inversion theorem for distributional Fourier Laplace transform
... n example is the Laplace transform, which renders a useful class of differential equations trivially solvable, converting them into algebraic ones instead. Another is the very well-known Fourier transform, which ...
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Boundary value problems in time for wave equations on RN
... Wave equation, radial symmetry, boundary value problem, eigenvalue problem, Hilbert space, weighted Sobolev space, Fredholm operator, Laplace transform, Bessel functions.. 1980 AMS SUBJE[r] ...
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Arc Image Processing Based on LabVIEW
... as Laplace edge detection operator, Prewitt edge detection operator, Sobel edge detection operator, and Robert edge detection ...of Laplace edge detection operator is that the ...
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Finite Time Engineering
... The classical Laplace transform theory violates the requirements of modern engineering implementations. (a) We show that the ILT is valid only for infinite duration signals. On the other hand the modern ...
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