Results 21 to 30 of about 275 (109)
An equality for the curvature function of a simple and closed curve on the plane
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3115-3122, 2003., 2003 We prove an equality for the curvature function of a simple and closed curve on the plane. This equality leads to another proof of the four‐vertex theorem in differential geometry. While examining the regularity assumption on the curve for the equality, we make comments on the relation between the boundary regularity of a Riemann mapping and two ...
Biao Ou
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Minimax theorems on C1 manifolds via Ekeland variational principle
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 757-768, 2003., 2003 We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.
Mabel Cuesta
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Steady vortex flows obtained from a constrained variational problem
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 5, Page 283-300, 2002., 2002 We prove the existence of steady two‐dimensional ideal vortex flows occupying the first quadrant and containing a bounded vortex; this is done by solving a constrained variational problem. Kinetic energy is maximized subject to the vorticity, being a rearrangement of a prescribed function and subject to a linear constraint.
B. Emamizadeh, M. H. Mehrabi
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Some remarks on a system of quasilinear elliptic equations
, 2002 We study the existence of critical points (minima and saddle points) of functionals of the type Φ(u,v) = 1/p ∫Ω |u|p + 1/q ∫Ω |v|q - ∫Ω F(x,u,v), where p and q are real numbers larger than 1.
D. De Figueiredo, BOCCARDO, Lucio
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On Neumann hemivariational inequalities
Abstract and Applied Analysis, Volume 7, Issue 2, Page 103-112, 2002., 2002 We derive a nontrivial solution for a Neumann noncoercive hemivariational inequality using the critical point theory for locally Lipschitz functionals. We use the Mountain‐Pass theorem due to Chang (1981).
Halidias Nikolaos
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A Dirichlet problem with asymptotically linear and changing sign nonlinearity
, 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 7, Issue 10, Page 547-561, 2002., 2002 We study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a bounded domain; 2* = 2N/(N − 2), N ≥ 3, is the critical Sobolev exponent and f has a behavior like up, 1 < p < 2* − 1.
Marco A. S. Souto
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Sign‐changing and multiple solutions for the p‐Laplacian
Abstract and Applied Analysis, Volume 7, Issue 12, Page 613-625, 2002., 2002 We obtain a positive solution, a negative solution, and a sign‐changing solution for a class of p‐Laplacian problems with jumping nonlinearities using variational and super‐subsolution methods.
Siegfried Carl, Kanishka Perera
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Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED +3 more
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Domain perturbation method and local minimizers to Ginzburg‐Landau functional with magnetic effect
Abstract and Applied Analysis, Volume 5, Issue 2, Page 101-112, 2000., 2000 We prove the existence of vortex local minimizers to Ginzburg‐Landau functional with a global magnetic effect. A domain perturbating method is developed, which allows us to extend a local minimizer on a nonsimply connected superconducting material to the local minimizer with vortex on a simply connected material.
Shuichi Jimbo, Jian Zhai
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