Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities
In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
doaj
A note on a dirichlet problem with concave-convex nonlinearity
Abstract We prove an existence principle that would apply for elliptic problems with nonlinearity separating into a difference of derivatives of two convex functions in the case when the growth conditions are imposed only on the minuend term. We present abstract result and its application. We modify the so called dual variational method.
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Development of ± 550 kV DC GIS Basin Insulator
ABSTRACT The basin insulator is a core component of the insulation system for ± 550 kV gas‐insulated switchgear (GIS). This paper, using a finite element method for multi‐physics simulations of electric–thermal coupling, determines a geometry suitable for the industrial production of ± 550 kV GIS basin insulators.
Shaohua Cao +9 more
wiley +1 more source
Size variation of an herbivorous insect affects host plant damage: Mechanisms behind the effect
Read the free Plain Language Summary for this article on the Journal blog. Abstract Intraspecific trait variation can strengthen or weaken species interactions in ecological communities. A mechanistic understanding of how intraspecific variation affects species interactions will help identify general rules about when intraspecific variation strengthens
Monica Paniagua Montoya +2 more
wiley +1 more source
Loop type subcontinua of positive solutions for indefinite concave-convex problems
We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann, Uriel +2 more
core
Stein-Weiss problems via nonlinear Rayleigh quotient for concave-convex nonlinearities
In the present work, we consider existence and multiplicity of positive solutions for nonlocal elliptic problems driven by the Stein-Weiss problem with concave-convex nonlinearities defined in the whole space $\mathbb{R}^N$. More precisely, we consider the following nonlocal elliptic problem: \begin{equation*} - Δu + V(x)u = λa(x) |u|^{q-2} u ...
Silva, Edcarlos D. +2 more
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Demographic buffering in natural populations: A multi‐level perspective
We introduce a multi‐level framework that unites stochastic elasticities with nonlinear selection to test demographic buffering. Applying it across mammals reveals a key insight: ecological robustness to variability often decouples from evolutionary constraint, reshaping how we understand resilience under environmental stochasticity.
Gabriel Silva Santos +4 more
wiley +1 more source
Nonlinear concave-convex problems with indefinite weight
Nikolaos S. Papageorgiou +2 more
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A semilinear heat equation with concave-convex nonlinearity
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Cazenave, F. Dickstein, M. Escobedo
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Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator [PDF]
We prove some existence results for a class of nonlinear fractional equations driven by a nonlocal operator.
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