Results 51 to 60 of about 1,664 (104)
On the existence of bounded solutions of nonlinear elliptic systems
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 479-490, 2002., 2002 We study the existence of bounded solutions to the elliptic system −Δpu = f(u, v) + h1 in Ω, −Δqv = g(u, v) + h2 in Ω, u = v = 0 on ∂Ω, non‐necessarily potential systems. The method used is a shooting technique. We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the sense of Hernandez; then we construct ...
Abdelaziz Ahammou
wiley +1 more source
Advances in Nonlinear AnalysisLet Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
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Advanced Nonlinear Studies, 2018 This paper is concerned with the boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge–Ampère ...
Zhang Zhijun
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Worst-case shape optimization for the Dirichlet energy [PDF]
, 2016 We consider the optimization problem for a shape cost functional $F(\Omega,f)$ which depends on a domain $\Omega$ varying in a suitable admissible class and on a "right-hand side" $f$. More precisely, the cost functional $F$ is given by an integral which
Bellido, José Carlos +2 more
core +3 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 687-694, 2002., 2002 We solve the Dirichlet problem for acoustic scattering from a surface which has been perturbed by the addition of one or more bumps. We build the solution for the bumpy case using the Green′s function for the unperturbed surface, and the solution of a local integral equation in which the integration is carried out only over the added bumps. We conclude
Maxim J. Goldberg, Seonja Kim
wiley +1 more source
Hopf's lemma for a class of singular/degenerate PDE-s
, 2014 This paper concerns Hopf's boundary point lemma, in certain $C^{1,Dini}$-type domains, for a class of singular/degenerate PDE-s, including $p$-Laplacian.
Mikayelyan, Hayk, Shahgholian, Henrik
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Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
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Existence, multiplicity and nonexistence results for Kirchhoff type equations
Advances in Nonlinear Analysis, 2020 In this paper, we study following Kirchhoff type equation:
He Wei, Qin Dongdong, Wu Qingfang
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On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
doaj
Moroccan Journal of Pure and Applied Analysis, 2019 We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El +2 more
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