Results 21 to 30 of about 145,855 (140)
Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs [PDF]
SIAM Journal on Scientific ComputingAbstract. A Nehari manifold optimization method (NMOM) is introduced for finding 1-saddles, i.e., saddle points with the Morse index equal to one, of a generic nonlinear functional in Hilbert spaces. Actually, it is based on the variational characterization that 1-saddles of this functional are local minimizers of the same functional ...
Zhaoxing Chen +3 more
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Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system
Electronic Journal of Differential Equations, 2020 We study the existence of positive solutions for gradient type cooperative, competitive elliptic systems, which depends on real parameters $\lambda,\mu$. Our analysis is purely variational and depends on finer estimates with respect to the Nehari sets,
Kaye Silva, Steffanio Moreno Sousa
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Mathematics, 2023 We investigate a class of fractional linearly coupled Choquard systems. For the subcritical case and all critical cases, we prove the existence, nonexistence and symmetry of positive ground state solutions of systems, by using the Nehari manifold method,
Huiqin Lu, Kexin Ouyang
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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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Electronic Journal of Differential Equations, 2020 This article concerns the existence and multiplicity of positive solutions to the fractional Kirchhoff equation with critical indefinite nonlinearities by applying the Nehari manifold approach and fibering maps.
Jie Yang, Haibo Chen, Zhaosheng Feng
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Existence of solutions for singular double phase problems via the Nehari manifold method [PDF]
, 2022 In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term.
Papageorgiou, Nikolaos S. +3 more
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Nehari manifold approach for superlinear double phase problems with variable exponents [PDF]
, 2023 In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on the nonlinearity, we prove a multiplicity result for such problems whereby
Crespo-Blanco, Ángel, Winkert, Patrick
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A geometrical view of the Nehari manifold [PDF]
Methods and Applications of Analysis, 2012 We study the Nehari manifold N associated to the boundary value problem −∆u = f(u) , u ∈ H 0 (Ω) , where Ω is a bounded regular domain in Rn. Using elementary tools from Differential Geometry, we provide a local description of N as an hypersurface of the Sobolev space H1 0 (Ω). We prove that, at any point u ∈ N , there exists an exterior tangent sphere
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Nehari manifold for a class of elliptic problems [PDF]
, 2023 In this work, we study some minimization techniques to solve semilinear elliptic equation, posed on a bounded open set Ω ⊂ RN. the first problem considered is −∆u + q(x)u = |u|p−2u in Ω, u = 0 on ∂Ω.
Salah, Mounira +1 more
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Nehari Manifold for Fractional Kirchhoff Systems with Critical Nonlinearity
Milan Journal of Mathematics, 2019 In this paper, we show the existence and multiplicity of positive solutions of the following fractional Kirchhoff system\\ \begin{equation} \left\{ \begin{array}{rllll} \mc L_M(u)&=λf(x)|u|^{q-2}u+ \frac{2α}{α+β}\left|u\right|^{α-2}u|v|^β& \text{in } Ω,\\ \mc L_M(v)&=μg(x)|v|^{q-2}v+ \frac{2β}{α+β}\left|u\right|^α|v|^{β-2}v & \text{in }
Do Ó, J.M. +2 more
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