Results 71 to 80 of about 243 (108)
, 2003 Hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream function. Two-dimensional version of these equations is transformed to the form of one dynamic equation for the stream function.
Yuri A. Rylov
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Uniqueness of the Positive Solution of Δu + f(u) = 0 in an Annulus
, 1991 We give here an extension of the recent result of Kwong (which in turn extended earlier results of Coffman and McLeod and Serrin) on the uniqueness of the positive radial solution of a semilinear elliptic equation.
L. Zhang, Man Kam Kwong, Liqun Zhang
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Asymptotics of a Free Boundary Problem
, 2007 As was shown by Kaper and Kwong [Differential and Integral Equations 3, 353--362], there exists a unique R ? 0, such that the differential equation u 00 + 2 + 1 r u 0 + u \Gamma u q = 0; r ? 0; (0 q !
Man Kam Kwong +2 more
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On a Volume Constrained Variational Problem
, 1998 Existence of minimizers for a volume constrained energy E(u) := Z \Omega W (ru)dx where L N (fu = z i g) = ff i ; i = 1; : : : ; P; is proved in the case where z i are extremal points of a compact, convex set in R d and under suitable assumptions ...
Irene Fonseca +3 more
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Classification of stable solutions for non-homogeneous higher-order elliptic PDEs. [PDF]
J Inequal Appl, 2017 Harrabi A, Rahal B, Hamdani MK.
europepmc +1 more source
Strongly indefinite systems with critical Sobolev exponents
We consider an elliptic system of Hamiltonian type on a bounded domain. In the superlinear case with critical growth rates we obtain existence and positivity results for solutions under suitable conditions on the linear terms.
Enzo Mitidieri +2 more
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. In this paper, the authors study an optimal control problem for quasilinear elliptic PDEs with pointwise state constraints. Weak and strong optimality conditions of Pontryagin maximum principle type are derived.
Eduardo Casas, Jiongmin Yong
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Classification of Stable Solutions to a Fractional Elliptic Equations with Robin boundary value
, 2023 Khouloud Ghabi, Cherif Zaidi
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Modulus continuity estimates for weak solutions of Laplace equation and Heat equation
四川大学学报. 自然科学版In this paper， we employ the perturbation method to study the modulus continuity estimates for Laplace equation and heat equation .Firstly， we investigate the modulus continuity estimate for the H1 weak solutions of the Laplace equation ∆ux=fx, x∈B1 on ...
WANG Jing, ZHANG Yong
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