Existence of solutions for minimax problems

Results 21 to 30 of about 434 (153)

On sufficient “local” conditions for existence results to generalized p(.)-Laplace equations involving critical growth

Advances in Nonlinear Analysis, 2022
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.
Ho Ky, Sim Inbo
doaj +1 more source

Minimax inequality for a special class of functionals and its application for existence of three solutions for a Dirichlet problem involving the p-Laplacian

International Mathematical Forum, 2007
In this paper, we establish an equivalent statement of minimax inequality sup≥0 inf u∈X (Φ(u )+ λΨ(u )+ λρ) < inf u∈X sup≥0 (Φ(u )+ λΨ(u )+ λρ) ,ρ ...
G. A. Afrouzi, S. Heidarkhani
openaire +1 more source

Mountain pass and linking type sign-changing solutions for nonlinear problems involving the fractional Laplacian

Boundary Value Problems, 2017
In this paper we study the existence of sign-changing solutions for nonlinear problems involving the fractional Laplacian 0.1 { ( − Δ ) s u − λ u = f ( x , u ) , x ∈ Ω , u = 0 , x ∈ R n ∖ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} (-\Delta)^{s}u-
Huxiao Luo, Xianhua Tang, Shengjun Li
doaj +1 more source

Existence and multiplicity of positive solutions for a class of nonlinear boundary value problems

, 2012
[[abstract]]In this paper, we study a class of nonlinear boundary value problems in RN + : By means of minimax method and the Lusternik-Schnirelman category, the criteria of the existence, multiplicity and nonexistence of positive solutions are ...
Wu, Tsung-Fang
core +2 more sources

Idempotent structures in optimization [PDF]

, 2001
Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core +1 more source

Existence of solutions for a nonlinear discrete system involving the $p$-Laplacian [PDF]

, 2007
summary:The existence of solutions for boundary value problems for a nonlinear discrete system involving the $p$-Laplacian is investigated.
Bai, Dingyong +3 more
core +1 more source

Periodic solutions for second order Hamiltonian systems [PDF]

, 1977
summary:By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are ...
Zhou, Yinggao +8 more
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Existence of solutions for some fourth-order nonlinear elliptic problems

, 2009
In this paper, we consider the existence of positive, negative and sign-changing solutions for some fourth order semilinear elliptic boundary value problems.
Jihui Zhang, Yang Yang, Yang, Yang, Zhang, Jihui +3 more
core +1 more source

AI‐Driven Cancer Multi‐Omics: A Review From the Data Pipeline Perspective

Advanced Intelligent Discovery, EarlyView.
The exponential growth of cancer multi‐omics data brings opportunities and challenges for precision oncology. This review systematically examines AI's role in addressing these challenges, covering generative models, integration architectures, Explainable AI for clinical trust, clinical applications, and key directions for clinical translation.
Shilong Liu, Shunxiang Li, Kun Qian
wiley +1 more source

Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions

Canadian Journal of Statistics, EarlyView.
Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni, Luca Merlo, Lea Petrella +2 more
wiley +1 more source

mathematics