Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Inbo Sim"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 237,, Pp 1-12 (2014)
We establish sufficient conditions for the existence of multiple positive solutions to nonautonomous quasilinear elliptic equations with p(x)-Laplacian and sign-changing nonlinearity. For solving the Dirichlet boundary-value problem we use variation
Externí odkaz:
https://doaj.org/article/b7b129e8077d4918bef110d2b23df4f9
Autor:
Inbo Sim, Yong Hoon Lee
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We establish a new solution operator for the following problem -φp(u′)′=g, t∈(0,1), u(0)=0=u(1), where φp(x)=|x|p-2x, p>1. g may be singular at the boundary or change signs or may not be in L1(0,1) so that this solution operator can cover lar
Externí odkaz:
https://doaj.org/article/a1a11443ca2b40199dc8a64809e1227f
Autor:
Inbo Sim, Yong-Hoon Lee
Publikováno v:
Journal of Inequalities and Applications, Vol 2010 (2010)
We estimate Lyapunov inequalities for a single equation, a cycled system and a coupled system of one-dimensional p-Laplacian problems with weight functions having stronger singularities than L1.
Externí odkaz:
https://doaj.org/article/58a60f576789492d973d1567d5705170
Publikováno v:
Boundary Value Problems, Vol 2008 (2008)
We find the second positive radial solution for the following p-Laplacian problem: div(|∇u|p−2∇u)+K(|x|)uq=0 in Ω, u|∂Ω=0, u(x)→μ>0 as |x|→∞, wh
Externí odkaz:
https://doaj.org/article/466e386739874bb4bc854cff04a5f63b
Publikováno v:
Advances in Nonlinear Analysis. 12:182-209
In this article, we study the existence of multiple solutions to a generalized p ( ⋅ ) p\left(\cdot ) -Laplace equation with two parameters involving critical growth. More precisely, we give sufficient “local” conditions, which mean that growth
Autor:
Byungjae Son, Inbo Sim
Publikováno v:
Advances in Nonlinear Analysis. 11:1365-1382
We study positive solutions to the one-dimensional generalized double phase problems of the form: − ( a ( t ) φ p ( u ′ ) + b ( t ) φ q ( u ′ ) ) ′ = λ h ( t ) f ( u ) , t ∈ ( 0 , 1 ) , u ( 0 ) = 0 = u ( 1 ) , \left\{\begin{array}{l}-(a\
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -).
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:8450-8473
Publikováno v:
Journal of Differential Equations. 268:4464-4490
We investigate the existence and multiplicity of nodal radial solutions for a prescribed mean curvature problem on the exterior domain of a ball using the global bifurcation theory. Moreover, we establish the asymptotic behavior of the solutions on t
Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 1463-1479 (2020)
We analyze$\begin{array}{} \frac{\pi}{4} \end{array} $-tangentiality of solutions for several types of scalar equations and systems of one-dimensional Minkowski-curvature problems with two points Dirichlet boundary conditions, which is dependent on s