Results 81 to 90 of about 869,106 (168)

Geometric description of the mountain pass critical points

open access: yes, 2014
In this short commentary I present the main results contained in the famous paper [P. Pucci & J. Serrin, The structure of the critical set in the mountain pass theorem, Trans. Amer. Math. Soc. 299 (1987), no. 1, 115–132].
PUCCI, Patrizia
core  

The existence of positive solutions for an elliptic boundary value problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
By using the mountain pass lemma, we study the existence of positive solutions for the equation −Δu(x)=λ(u|u|+u)(x) for x∈Ω together with Dirichlet boundary conditions and show that for every ...
G. A. Afrouzi
doaj   +1 more source

[Mountain pass]

open access: yes, 2018
"[Mountain pass]" [1959.6042.000.000], Unknown ArtistArtist and Role: Unknown ...
Unknown Artist
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Solutions for fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type equations in R N $\mathbb{R}^{N}$

open access: yesJournal of Inequalities and Applications
In this paper, we discuss the fractional p ( x , ⋅ ) $p(x,\cdot )$ -Kirchhoff-type equations M ( ∫ R N × R N 1 p ( x , y ) | u ( x ) − u ( y ) | p ( x , y ) | x − y | N + s p ( x , y ) d x d y ) ( − Δ p ( x , . ) ) s u + | u | p ¯ ( x ) − 2 u = f ( x , u
Lili Wan
doaj   +1 more source

On Fourth-Order Elliptic Equations of Kirchhoff Type with Dependence on the Gradient and the Laplacian

open access: yesJournal of Function Spaces, 2018
We consider a nonlocal fourth-order elliptic equation of Kirchhoff type with dependence on the gradient and Laplacian Δ2u-a+b∫Ω∇u2dxΔu=fx,u,∇u,Δu, in Ω, u=0, Δu=0, on ∂Ω, where a, b are positive constants.
Yuanfang Ru   +3 more
doaj   +1 more source

Season Pass Sale Signage

open access: yes, 2022
A sign advertising the cost of a season pass for the 2022-2023 ski season at Beaver Mountain Ski Area, April 19 ...

core  

Finding critical points whose polarization is a critical point

open access: yes, 2012
We show that near any given minimizing sequence of paths for the mountain pass lemma, there exists a critical point whose polarization is also a critical ...
Squassina, Marco
core  

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