Results 31 to 40 of about 503 (69)
Two problems related to prescribed curvature measures
, 2011 Existence of convex body with prescribed generalized curvature measures is discussed, this result is obtained by making use of Guan-Li-Li's innovative techniques.
A. V. Pogorelov +23 more
core +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
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
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
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.
core +2 more sources
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
core +2 more sources
Multiplicity of positive solutions to semilinear elliptic boundary value problems
Abstract and Applied Analysis, Volume 4, Issue 3, Page 195-208, 1999., 1999 We study semilinear elliptic boundary value problems of one parameter dependence where the number of positive solutions is discussed. Our main purpose is to characterize the critical value given by the infimum of such parameters for which positive solutions exist.
Kenichiro Umezu
wiley +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
Semilinear elliptic equations having asymptotic limits at zero and infinity
Abstract and Applied Analysis, Volume 4, Issue 4, Page 231-242, 1999., 1999 We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.
Kanishka Perera, Martin Schechter
wiley +1 more source