Results 21 to 30 of about 503 (69)
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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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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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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Limit of p-Laplacian Obstacle problems
, 2020 In this paper we study asymptotic behavior of solutions of obstacle problems for $p-$Laplacians as $p\to \infty.$ For the one-dimensional case and for the radial case, we give an explicit expression of the limit.
Capitanelli, Raffaela +1 more
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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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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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Symmetry breaking results for problems with exponential growth in the unit disk [PDF]
, 2005 We investigate some asymptotic properties of extrema to a two-dimensional variational problem in the unit disk.
Secchi, S., Serra, E.
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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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