Results 21 to 30 of about 199 (78)
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
On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions
Boundary Value Problems, 2014 In this paper, we consider semilinear biharmonic equations with concave-convex nonlinearities involving weight functions, where the concave nonlinear term is λf(x)|u|q−1u and the convex nonlinear term is h(x)|u|p−1u with λ∈R+.
Lu Yang, Xuan Wang
semanticscholar +2 more sources
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
wiley +1 more source
Multi-bump solutions for a Kirchhoff-type problem
Advances in Nonlinear Analysis, 2016 In this paper, we study the existence of solutions for the Kirchhoff problem M(∫ℝ3|∇u|2dx+∫ℝ3(λa(x)+1)u2dx)(-Δu+(λa(x)+1)u)=f(u)$M\Biggl (\int _{\mathbb {R}^{3}}|\nabla u|^{2}\, dx + \int _{\mathbb {R}^{3}} (\lambda a(x)+1)u^{2}\, dx\Biggl ) (- \Delta u +
Alves Claudianor O. +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
wiley +1 more source
Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic
Differential and Integral Equations, 1995 In this paper, the authors study an optimal control problem for quasilinear elliptic PDEs with pointwise state constraints. Weak and strong optimality conditions of Pontryagin maximum principle type are derived. In proving these results, we penalized the
E. Casas, J. Yong
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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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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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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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