Results 31 to 40 of about 243 (108)
Uniqueness of positive solutions for several classes of sum operator equations and applications
, 2014 In this article we study several classes of sum operator equations on ordered Banach spaces and present some new existence and uniqueness results of positive solutions, which extend the existing corresponding results. Moreover, we establish some pleasant
Chen Yang, Cheng-Bo Zhai, Mengru Hao
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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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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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On uniqueness question for nonlinear Neumann problems with variable exponent and L^1-data
, 2016 The paper deals with uniqueness result of entropy solution for homogeneous Neumann boundary-value problems with variable exponent and data in L1 under supplementary conditions on variable exponent. Mathematics Subject Classification: 35J60, 35J65, 35J92.
A. Jamea, A. El Hachimi
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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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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 a nonresonance condition between the first and the second eigenvalues for the p‐Laplacian
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 10, Page 625-634, 2001., 2001 We are concerned with the existence of solution for the Dirichlet problem −Δpu = f(x, u) + h(x) in Ω, u = 0 on ∂Ω, when f(x, u) lies in some sense between the first and the second eigenvalues of the p‐Laplacian Δp. Extensions to more general operators which are (p − 1)‐homogeneous at infinity are also considered.
A. Anane, N. Tsouli
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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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A mathematical analysis of thermal explosions
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 10, Page 581-607, 2001., 2001 This paper is devoted to the study of semilinear degenerate elliptic boundary value problems arising in combustion theory which obey the simple Arrhenius rate law and a general Newton law of heat exchange. We prove that ignition and extinction phenomena occur in the stable steady temperature profile at some critical values of a dimensionless rate of ...
Kazuaki Taira
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