Results 21 to 30 of about 526 (91)
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
wiley +1 more source
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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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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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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Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle [PDF]
, 2003 It is shown that the problem of designing a two-reflector system transforming a plane wave front with given intensity into an output plane front with prescribed output intensity can be formulated and solved as the Monge-Kantorovich mass transfer problem ...
Glimm, Tilmann, Oliker, Vladimir
core +3 more sources
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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Open Mathematics, 2017 A semi-linear boundary-value problem with nonlinear Robin boundary conditions is considered in a thin 3D aneurysm-type domain that consists of thin curvilinear cylinders that are joined through an aneurysm of diameter 𝓞(ε). Using the multi-scale analysis,
Mel’nyk Taras A. +1 more
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On an asymptotically linear elliptic Dirichlet problem
Abstract and Applied Analysis, Volume 7, Issue 10, Page 509-516, 2002., 2002 Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple.
Zhitao Zhang +3 more
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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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