Results 31 to 40 of about 6,728 (222)
Extremal parameter for double phase problem with concave–convex nonlinearity
Communications in Nonlinear Science and Numerical Simulation, 2023 Abstract Note: Please see pdf for full abstract with equations. In this work, we study the following problem −Δpu − div(μ(x)|∇u|q−2∇u) = λf(x)|u|γ−2u + g(x)|u|r−2u in Ω, u = 0 on ∂Ω, where Ω ⊂ RN,N ≥ max{2, p} is a bounded smooth domain, 1 < γ < p < q
Mishra, P. K. +2 more
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On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on ℝN
Boundary Value Problems, 2009 We consider the existence of multiple solutions of the elliptic equation on ℝN with concave and convex nonlinearities.
Kuan-Ju Chen
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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
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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
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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 +46 more
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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
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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 +1 more
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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
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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. +2 more
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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
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