Results 11 to 20 of about 269 (76)
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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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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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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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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Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1031-1045, 2004., 2004 Existence result for strongly nonlinear elliptic equation with a natural growth condition on the nonlinearity is proved.
A. Elmahi, D. Meskine
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The Bahri–Coron Theorem for Fractional Yamabe-Type Problems
Advanced Nonlinear Studies, 2018 We study the following fractional Yamabe-type equation:
Abdelhedi Wael +2 more
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Multiple positive solutions for quasilinear elliptic problems with sign‐changing nonlinearities
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1047-1055, 2004., 2004 Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of p‐Laplace equations of gradient form. Then we study a p‐Laplace‐type problem with nonlinear boundary conditions.
Julián Fernández Bonder
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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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Solutions to H‐systems by topological and iterative methods
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 539-545, 2003., 2003 We study H‐systems with a Dirichlet boundary data g. Under some conditions, we show that if the problem admits a solution for some (H0, g0), then it can be solved for any (H, g) close enough to (H0, g0). Moreover, we construct a solution of the problem applying a Newton iteration.
P. Amster, M. C. Mariani
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