Results 21 to 30 of about 269 (76)
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
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Advances in Nonlinear Analysis, 2019 This paper is dedicated to studying the nonlinear Schrödinger equations of the ...
Chen Sitong, Tang Xianhua
doaj +1 more source
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
wiley +1 more source
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
doaj +1 more source
Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains [PDF]
Calc. Var. 15 (2002) 67-80, 2001 We prove an existence theorem for convex hypersurfaces of prescribed Gauss curvature in the complement of a compact set in Euclidean space which are close to a cone.
arxiv +1 more source
Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type
Advances in Nonlinear Analysis, 2016 We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We use the nonlinear domain decomposition method.
Trabelsi Maryem, Trabelsi Nihed
doaj +1 more source
Convergence results for the solutions of $(p,q)$-Laplacian double obstacle problems on irregular domains [PDF]
arXiv, 2023 In this paper we study double obstacle problems involving $(p,q)-$Laplace type operators. In particular, we analyze the asymptotics of the solutions on fractal and pre-fractal boundary domains.
arxiv