Results 11 to 20 of about 243 (108)
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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Boundary Value Problems, 2014 In this paper, we study the following fourth-order elliptic equations of Kirchhoff type: △2u−(a+b∫R3|∇u|2dx)△u+V(x)u=f(x,u), in R3, u∈H2(R3), where a,b>0 are constants, we have the potential V(x):R3→R and the nonlinearity f(x,u):R3×R→R.
Li-Ping Xu, Hai-Bo Chen
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Positive Solutions for Some Weighted Elliptic Problems
, 2020 In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems: (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on and f(x, s) is asymptotically linear in ...
H. Zahed
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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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Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator
Moroccan Journal of Pure and Applied Analysis, 2022 In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s ...
Karim Belhadj +3 more
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A Dirichlet problem with asymptotically linear and changing sign nonlinearity [PDF]
, 2003 This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a bounded domain ; with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour.
Lucia, Marcello +2 more
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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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Uniqueness of Radial Solutions of Semilinear Elliptic Equations [PDF]
, 1992 E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one finite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for other classes of equations as well as Matukuma equations
Kwong, Man Kam +3 more
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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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