Results 21 to 30 of about 6,600 (212)

Multiplicity of Solutions for Schrödinger Equations with Concave-Convex Nonlinearities [PDF]

International Journal of Analysis, 2016
We study the multiplicity of solutions for a class of semilinear Schrödinger equations: -Δu+V(x)u=gx,u,  for  x∈RN;  u(x)→0,  as  u→∞, where V satisfies some kind of coercive condition and g involves concave-convex nonlinearities with indefinite signs. Our theorems contain some new nonlinearities.
Dong-Lun Wu, Chun-Lei Tang, Xing-Ping Wu
openaire   +2 more sources

Nonlinear singular problems with indefinite potential term

, 2020
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities.
Papageorgiou, Nikolaos S., Repovš, Dušan D., Rădulescu, Vicenţiu D.   +2 more
core   +2 more sources

Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities

Discrete Dynamics in Nature and Society, 2013
Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential ...
Lingling Zhang, Chengbo Zhai
doaj   +1 more source

About curvature, conformal metrics and warped products [PDF]

, 2007
We consider the curvature of a family of warped products of two pseduo-Riemannian manifolds $(B,g_B)$ and $(F,g_F)$ furnished with metrics of the form $c^{2}g_B \oplus w^2 g_F$ and, in particular, of the type $w^{2 \mu}g_B \oplus w^2 g_F$, where $c, w ...
Alama S, Ambrosetti A, Anderson M T, Argurio R, Aubin T, Badiale M, Beem J K, Besse A, Bülent Ünal, Choquet-Bruhat Y, Cortázar C, Coti Zelati V, Cradall M G Rabinowitz P H Tartar L, Dobarro F Ünal B, Fernando Dobarro, Garcia-Parrado A, Garcia-Parrado A, Gauntlett J P, Gauntlett J P, Ghezelbash A M, Hawking S W, Hebey E, Hebey E Pacard F Pollack D, Ito M, Kazdan J, Kodama H, Kodama H, Lelong-Ferrand J, Maldacena J, Melrose R, Misner C W, O'Neil B, Randjbar-Daemi S, Schmidt H-J, Schmidt H-J, Schoen R, Schwarzschild K, Shi J, Soda J, Taylor M E, Thorne K, Trudinger N, Wesson P S, Wesson P S, Willem M, Yamabe H, Ó   +46 more
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Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives

Complexity, 2019
In this paper, we use fixed-point index to study the existence of positive solutions for a system of Hadamard fractional integral boundary value problems involving nonnegative nonlinearities.
Haiyan Zhang, Yaohong Li, Jiafa Xu
doaj   +1 more source

Singular equations with variable exponents and concave-convex nonlinearities

Discrete and Continuous Dynamical Systems - S, 2023
Let \(\Omega \subseteq \mathbb{R}^N\) be a bounded domain with a \(C^2\)-boundary \(\partial \Omega\). The authors consider a parametric Dirichlet problem of the form \[ \begin{cases} -\operatorname{div}a(z,\nabla u(z))=\lambda (\xi(z) u(z)^{-\eta(z)} +u(z)^{\tau(z)-1})+f(z,u(z)) \quad\mbox{in } \Omega,\\ u \Big|_{\partial \Omega} =0, \, \lambda>0 ...
Gasiński, Leszek, Papageorgiou, Nikolaos S.   +1 more
openaire   +1 more source

Infinitely Many Small Energy Solutions to the Double Phase Anisotropic Variational Problems Involving Variable Exponent

Axioms, 2023
This paper is devoted to double phase anisotropic variational problems for the case of a combined effect of concave–convex nonlinearities when the convex term does not require the Ambrosetti–Rabinowitz condition.
Jun-Hyuk Ahn, Yun-Ho Kim
doaj   +1 more source

Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities

Abstract and Applied Analysis, 2012
By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.
Tsing-San Hsu, Huei-Li Lin
doaj   +1 more source

Stability of positive solutions of local partial differential equations with a nonlinear integral delay term

Electronic Journal of Qualitative Theory of Differential Equations, 2008
Stability properties of positive stationary solutions to local partial differential equations with delay are studied. The results are applied to equations with not necessarily convex (concave) nonlinearities, for example, to the diffusive Nicholson's ...
Alexander Rezounenko
doaj   +1 more source

A critical fractional equation with concave–convex power nonlinearities

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2015
In this work we study the following fractional critical problem (P_{\lambda }) = \begin{cases} (−\mathrm{\Delta })^{s}u = \lambda u^{q} + u^{2_{s}^*−1},\:u > 0 & \text{in }\Omega , \\ u = 0 & \text{in }\mathbb{R}^{n} \setminus \Omega , \end{cases} where
B. Barrios, E. Colorado, R. Servadei, F. Soria   +3 more
openaire   +4 more sources