Elliptic Equation
On Optimal Control of Quasi-Linear Elliptic Equation with Variable px -Laplacian
... Abstract—We consider an optimal control problem for quasi- linear elliptic equation containing the p-Laplacian with variable exponent p = p(x). The exponent p(x) are used as the controls in L 1 (Ω). The ...
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Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators
... The aim of this paper is to establish nonlocal and multiple existence results (with re- spect to a real parameter) to an elliptic equation involving the Paneitz-Branson operator with concave-convex ...
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Existence,multiplicity, and nonexistence of solutions for a p-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)
... Corrêa, FJSA, Figueiredo, GM: On a elliptic equation of p-Kirchhoff type via variational methods. Corrêa, FJSA, Figueiredo, GM: On a p-Kirchhoff equation via Krasnoselskii’s genus[r] ...
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On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on
... Tshinanga, “On multiple solutions of semilinear elliptic equation on unbounded domains with concave and convex nonlinearities,” Nonlinear Analysis: Theory, Methods & Applications , v[r] ...
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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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Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data
... homogeneous elliptic equation such as the method of successive iterations [, ], the optimization method [, ], the quasi-reversibility method [–], fourth- order modified method [, ], Fourier ...
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Multiple Solutions for an Elliptic Equation with Hardy Sobolev Critical Exponent, Hardy Sobolev Maz’ya Potential and Sign Changing Weights
... In the present paper, an elliptic equation with Hardy-Sobolev critical expo- nent, Hardy-Sobolev-Maz’ya potential and sign-changing weights, is consi- dered. By using the Nehari manifold and mountain pass ...
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Filtering Function Method for the Cauchy Problem of a Semi Linear Elliptic Equation
... A Cauchy problem for the semi-linear elliptic equation is investigated. We use a filtering function method to define a regularization solution for this ill-posed problem. The existence, uniqueness and ...
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Existence of solution for a singular elliptic equation with critical Sobolev Hardy exponents
... that (1.5) has a nontrivial solution under certain conditions for λ and µ. Moreover, Cao in [4, 5] and Chen in [6] also studied the semilinear elliptic equation (1.5). They show that (1.5) has nontrivial ...
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Some results on the eigenvalue problem for a fractional elliptic equation
... This paper deals with the eigenvalue problem for a fractional variable coefficients elliptic equation defined on a bounded domain. Compared to the previous work, we prove a quite different variational ...
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On a fourth order elliptic equation with supercritical exponent
... Ould Bouh Advances in Difference Equations 2014, 2014 319 http //www advancesindifferenceequations com/content/2014/1/319 R ES EARCH Open Access On a fourth order elliptic equation with supercritical[.] ...
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Pseudo almost periodic weak solutions of a semilinear elliptic equation
... tions may have potential use in differential equations with more than one spatial variables. However, to the best of our knowledge, there is no literature systematically treating this yet. So in this paper, we will ...
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Uniqueness and radial symmetry for an inverse elliptic equation
... and Ᏺ is a family of functions which are rearrangements of a prescribed func- tion, hence problem (1.1) is named an inverse rearrangement semilinear elliptic equation. Therefore, by a solution for (1.1) we ...
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Existence of Solutions for a Nonlinear Elliptic Equation with General Flux Term
... We prove the existence of solutions for an elliptic partial di ff erential equation having more general flux term than either p -Laplacian or flux term of the Leray-Lions type conditions:[r] ...
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Exact solutions of Dirichlet type problem to elliptic equation, which type degenerates at the axis of cylinder. I
... Evidently, equation () is elliptic outside of the line r = and its type degenerates at this line, ...the elliptic systems, which are irregularly degenerate at the inner point of a considered ...
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Gradient estimates and Liouville type theorems for a weighted nonlinear elliptic equation
... for elliptic gradient estimates for f -Laplacian under the ∞-Bakry–Émery Ricci curvature, in order to using the weighted comparison theorem, the assumption |∇ f | ≤ θ is forced ...
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On the Existence of Solutions of a Nonlocal Elliptic Equation with a p Kirchhoff Type Term
... Guo, “Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems,” Nonlinear Analysis: Theory, Methods & Applications, vol.. Peral, “Multiplicity of [r] ...
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Compatibility conditions for the existence of weak solutions to a singular elliptic equation
... was studied. Here L is a linear second order elliptic operator which satisfies the maximum principle and g is positive and becomes singular uniformly in x as u → . Their techniques are also based on the use of ...
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A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation
... ∇ − ∆ are utilized and apriori bounds on the integral of the square of the second gra- dient and on the square of the gradient of the solution are deduced. Since then, many authors [2]-[11] and refer- ences therein have ...
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Topological arguments for an elliptic equation involving the fractional Laplacian
... nected to a degenerate elliptic differential equation in one dimension higher by a Dirichlet to Neumann map. This provides a good variational structure to the problem. By studying this problem with classical ...
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