Results 11 to 20 of about 199 (78)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 18, Page 913-948, 2004., 2004 We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions u to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean curvature, together with the boundary contact angle in the capillarity problem and the boundary values in ...
Fei-Tsen Liang
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Hydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 11, Page 541-570, 2004., 2004 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. This equation contains arbitrary function which is determined by inflow conditions given on the boundary.
Yuri A. Rylov
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Nonexistence of Solutions for Dirichlet Problems with Supercritical Growth in Tubular Domains
Advanced Nonlinear Studies, 2021 We deal with Dirichlet problems of the ...
Molle Riccardo, Passaseo Donato
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Abstract and Applied Analysis, Volume 2004, Issue 3, Page 251-268, 2004., 2004 We study the existence and multiplicity of solutions for a class of quasilinear elliptic problem in exterior domain with Neumann boundary conditions.
Claudianor O. Alves +2 more
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Anisotropic problems with unbalanced growth
Advances in Nonlinear Analysis, 2020 The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
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Continuum limits of particles interacting via diffusion
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 215-237, 2004., 2004 We consider a two‐phase system mainly in three dimensions and we examine the coarsening of the spatial distribution, driven by the reduction of interface energy and limited by diffusion as described by the quasistatic Stefan free boundary problem. Under the appropriate scaling we pass rigorously to the limit by taking into account the motion of the ...
Nicholas D. Alikakos +2 more
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Open Mathematics, 2019 In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
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Species survival versus eigenvalues
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004 Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana +2 more
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Logistic equation with the p‐Laplacian and constant yield harvesting
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 723-727, 2004., 2004 We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti +2 more
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Advances in Nonlinear Analysis, 2019 This paper is dedicated to studying the nonlinear Schrödinger equations of the ...
Chen Sitong, Tang Xianhua
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