Results 11 to 20 of about 6,600 (212)
Advances in Difference Equations, 2020 We consider the combined effect of concave–convex nonlinearities on the number of solutions for an indefinite truncated Kirchhoff-type system involving the weight functions.
Qingjun Lou, Yupeng Qin
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Fractal and Fractional, 2022 In this paper, we use the fixed-point index to establish positive solutions for a system of Riemann–Liouville type fractional-order integral boundary value problems.
Keyu Zhang +3 more
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Fractional weighted problems with a general nonlinearity or with concave‐convex nonlinearities [PDF]
Mathematical Methods in the Applied Sciences, 2020 We consider nonlocal problems in which the leading operator contains a sign‐changing weight which can be unbounded. We begin studying the existence and the properties of the first eigenvalue. Then we study a nonlinear problem in which the nonlinearity does not satisfy the usual Ambrosetti‐Rabinowitz condition.
Luigi Appolloni, Dimitri Mugnai
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Boundary Value Problems, 2023 In this paper, we study the existence of a class of p ( x ) $p(x)$ -Kirchhoff equation involving concave-convex nonlinearities. The main tools used are the perturbation technique, variational method, and a priori estimation.
Changmu Chu, Zhongju He
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An Investigation of an Integral Equation Involving Convex–Concave Nonlinearities
Mathematics, 2021 We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an approximation of the unique solution. The main
Ravi P. Agarwal +2 more
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Radial solutions of Dirichlet problems with concave–convex nonlinearities [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2011 The authors consider the nonlinear Dirichlet problem \[ \begin{gathered} \Delta u(x)+ q(|x|)|u(x)|^{\delta-1} u(x)+ p(|x|)|u(x)|^{\gamma-1} u(x)= 0,\quad x\in\Omega,\\ u(x)= 0,\qquad x\in\partial\Omega,\end{gathered}\tag{1} \] where \(\Omega\) is the unit ball in \(\mathbb{R}^N\) with \(N\geq 3\) and \(p,q:[0,1]\to \mathbb{R}\) are \(C^1\)-functions; \(
F. Dalbono, DAMBROSIO, Walter
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The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains.
Somayeh Khademloo, Saeed Khanjany Ghazi
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A class of fourth-order elliptic equations with concave and convex nonlinearities in $\mathbb{R}^N$
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this article, we study the multiplicity of solutions for a class of fourth-order elliptic equations with concave and convex nonlinearities in $\mathbb{R}^N$.
Zijian Wu, Haibo Chen
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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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