Results 31 to 40 of about 526 (91)
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
Hypersurfaces of Prescribed Gauss Curvature in Exterior Domains
, 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.Comment: 15 pages, LaTeX (published ...
Finster, Felix, Schnuerer, Oliver C.
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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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A Dirichlet problem with asymptotically linear and changing sign nonlinearity [PDF]
, 2003 This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a bounded domain ; with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour.
Lucia, Marcello +2 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
wiley +1 more source
Existence Theorems for Non-Cooperative Elliptic Systems [PDF]
, 2012 2010 Mathematics Subject Classification: 35J65, 35K60, 35B05, 35R05.Existence of classical C2()TC() solutions of non-cooperative weakly coupled systems of elliptic second-order PDE is proved via the method of sub- and super ...
Boyadzhiev, G.
core
Existence of least energy nodal solution for a Schr\"odinger-Poisson system in bounded domains
, 2013 We prove the existence of least energy nodal solution for a class of Schr\"odinger-Poisson system in a bounded domain $\Omega \subset \mathbb{R}^3$ with nonlinearity having a subcritical growth.Comment: To appear in ...
Alves, Claudianor O., Souto, Marco A. S.
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Liouville Type Theorem For A Nonlinear Neumann Problem [PDF]
, 2016 Consider the following nonlinear Neumann problem \[ \begin{cases} \text{div}\left(y^{a}\nabla u(x,y)\right)=0, & \text{for }(x,y)\in\mathbb{R}_{+}^{n+1}\\ \lim_{y\rightarrow0+}y^{a}\frac{\partial u}{\partial y}=-f(u), & \text{on }\partial\mathbb{R}_ ...
Xiang, Changlin
core
Rigidity results for some boundary quasilinear phase transitions
, 2008 We consider a quasilinear equation given in the half-space, i.e. a so called boundary reaction problem. Our concerns are a geometric Poincar\'e inequality and, as a byproduct of this inequality, a result on the symmetry of low-dimensional bounded stable ...
Sire, Yannick, Valdinoci, Enrico
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On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
, 2007 We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients.
Bandle C. +14 more
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