Results 21 to 30 of about 26,524 (298)

Anisotropic problems with unbalanced growth

open access: yesAdvances in Nonlinear Analysis, 2020
The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
doaj   +1 more source

Multiple solutions for a quasilinear Choquard equation with critical nonlinearity

open access: yesOpen Mathematics, 2021
In the present work, we are concerned with the multiple solutions for quasilinear Choquard equation with critical nonlinearity in RN{{\mathbb{R}}}^{N}.
Li Rui, Song Yueqiang
doaj   +1 more source

Non-autonomous weighted elliptic equations with double exponential growth

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
We consider the existence of solutions of the following weighted problem: {L:=-div(ρ(x)|∇u|N-2∇u)+ξ(x)|u|N-2u=f(x,u)inBu>0inBu=0on∂B,\left\{ {\matrix{{L: = - div\left( {\rho \left( x \right){{\left| {\nabla u} \right|}^{N - 2}}\nabla u} \right) + \xi ...
Baraket Sami, Jaidane Rached
doaj   +1 more source

The intrinsic mountain pass [PDF]

open access: yesPacific Journal of Mathematics, 1995
The Ambrosetti-Rabinowitz mountain pass lemma and Rabinowitz saddle point theorems are among the most fruitful tools in critical point theory. The present paper analyzes an abstract version of these results due to Brézis-Nirenberg, and provides generalized versions which allow new existence conditions for some semilinear elliptic boundary value ...
openaire   +2 more sources

308 Stakeholder interview feedback to improve remote biomarker capture for decentralized trials [PDF]

open access: yesJ Clin Transl Sci
Objectives/Goals: We previously developed and evaluated a system called MyTrials, which captures biomarker data remotely. We sought to improve that platform to support additional methods of remote biomarker capture, which is especially important in ...
Fronk G   +7 more
europepmc   +2 more sources

Nonlinear Scalar Field Equations with L2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches

open access: yesAdvanced Nonlinear Studies, 2019
We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):
Hirata Jun, Tanaka Kazunaga
doaj   +1 more source

Extensions of the mountain pass theorem

open access: yesJournal of Functional Analysis, 1984
The paper contains a number of extensions of the mountain pass lemma of \textit{A. Ambrosetti} and \textit{P. H. Rabinowitz} [(*) ibid. 14, 349-381 (1973; Zbl 0273.49063)]. The lemma gives sufficient conditions for the existence of critical points of continuously Fréchet differentiable functionals \(I: X\to {\mathbb{R}}\) on a real Banach space X.
PUCCI, Patrizia, J. SERRIN
openaire   +3 more sources

Conceptualising quality early childhood education: Learning from young children in Brazil and South Africa through creative and play‐based methods

open access: yesBritish Educational Research Journal, EarlyView., 2023
Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright   +8 more
wiley   +1 more source

An extension of the mountain pass lemma

open access: yesApplied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lizhou Wang, Dongsheng Li
openaire   +2 more sources

A mountain pass algorithm with projector

open access: yesJournal of Computational and Applied Mathematics, 2012
Minimax methods are essential tools in the analysis of semilinear PDE by using the famous mountain pass theorem. In this paper, a modification of Chen, Ni, and Zhou's algorithm is presented. This modification guarantees that the critical points found are fixed-points of a metric projector on a closed cone.
Nicolas Tacheny, Christophe Troestler
openaire   +3 more sources

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