Results 271 to 280 of about 3,081 (308)

Existence of Solutions to a Singular Elliptic Equation

Milan Journal of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ANALYTICITY OF SOLUTIONS OF SINGULAR ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1988
See the review in Zbl 0646.35025.
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Singular Solutions for some Semilinear Elliptic Equations

Archive for Rational Mechanics and Analysis, 1987
This paper studies solutions \(u\in C\) \(2(B_ R\setminus 0)\) of the equation \(-\Delta u+u\) \(p=0\), \(u\geq 0\) on \(B_ R\setminus 0\), the dimension of the underlying space being N.
Brézis, Haïm, Oswald, Luc
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A Class of Elliptic Equations with Singular and Critical Nonlinearities

Acta Applicandae Mathematicae, 2015
For a semilinear Dirichlet problem with a singularity and critical nolinearity, it is shown the existence of a nontrivial nonnegative solution.
Figueiredo, Giovany M., Montenegro, Marcelo   +1 more
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Isolated Singularities of Solutions to Quasilinear Elliptic Equations

Potential Analysis, 2007
The authors study the removability of singularities for quasilinear elliptic equations. They show optimal results in this direction assuming the lower order terms of the equation to belong to a non-linear version of the Stummel-Kato class. Moreover, they give an example to show the sharpness of their result.
Liskevich, Vitali, Skrypnik, I. I.
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On a singular nonlinear elliptic equation

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author studies the existence of positive solutions \(u\in C^2(B_R)\cap C^1(\overline B_R)\) of the following singular Dirichlet problem: \[ u^\alpha(\Delta u+u)- u/\alpha= 0,\quad x\in B_R,\quad u(x)=0,\quad x\in \partial B_R.
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Elliptic equation with singular potential

Ukrainian Mathematical Journal, 2011
Summary: We consider the following problem of finding a nonnegative function \(u(x)\) in a ball \(B=B(0, R)\subset R^n, n\geq3\): \(-\Delta u=V(x)u, u|_{\partial B}=\phi(x)\), where \(\Delta\) is the Laplace operator, \(x=(x_1,x_2,\dots,x_n)\), and \(\partial B\) is the boundary of the ball \(B\).
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Asymptotic Theory of Singular Semilinear Elliptic Equations

Canadian Mathematical Bulletin, 1984
AbstractNecessary and sufficient conditions are found for the existence of two positive solutions of the semilinear elliptic equation Δu + q(|x|)u = f(x, u) in an exterior domain Ω⊂ℝn, n ≥ 1, where q, f are real-valued and locally Hölder continuous, and f(x, u) is nonincreasing in u for each fixed x∈Ω. An example is the singular stationary Klein-Gordon
Kusano, Takasi, Swanson, Charles A.
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Elliptic Equation with Singular Terms on Riemannian Manifold

Letters in Mathematical Physics, 2007
The paper deals with the equation \[ \Delta_gu-cu+\sum_{i=2}^l c_iu^i +\sum_{i=1}^m c_{-i}u^{-i}=0 \] on a three-dimensional Riemannian manifold \((\Sigma,g).\) Employing the method of successive approximations the author shows the existence of a solution assuming the volume of \(\Sigma\) as well as the norms \(\| c_{i}\| _{H^2(\Sigma)},\) \(\| \nabla ...
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On Singular Solutions of Nonlinear Elliptic and Parabolic Equations

Milan Journal of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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