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Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.
Hamed Alsulami +4 more
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Choquard equations via nonlinear rayleigh quotient for concave-convex nonlinearities
Communications on Pure & Applied Analysis, 2021 <p style='text-indent:20px;'>It is established existence of ground and bound state solutions for Choquard equation considering concave-convex nonlinearities in the following form</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \begin{cases} -\Delta u +V ...
Carvalho, M. L. M. +2 more
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Critical quasilinear elliptic problems using concave–convex nonlinearities [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
da Silva, E. D. +3 more
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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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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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