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Existence Results for Singular p-Biharmonic Problem with HARDY Potential and Critical Hardy-Sobolev Exponent

Axioms
In this article, we consider the singular p-biharmonic problem involving Hardy potential and critical Hardy–Sobolev exponent. Firstly, we study the existence of ground state solutions by using the minimization method on the associated Nehari manifold ...
Gurpreet Singh
doaj   +1 more source

The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth

, 2021
In this paper we study the following class of nonlocal problem involving Caffarelli-Kohn-Nirenberg type critical growth $$ L(u)-\lambda h(x)|x|^{-2(1+a)}u=\mu f(x)|u|^{q-2}u+|x|^{-pb}|u|^{p-2}u\quad \text{in } \mathbb R^N, $$% where $h(x)\geq 0$, $f(x ...
Mishra, Pawan K., do Ó, João Marcos, Costa, David G.   +2 more
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The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms

, 2019
In the present paper, we study the following singular Kirchhoff problem {M(integral integral(R2N) vertical bar u(x) - u(y)vertical bar(2)/vertical bar x - y vertical bar(N+2s)dxdy) (-Delta)(s)u =lambda f(x)u(-gamma) + g(x)u(2s)*(-1) in Omega, u > 0 in ...
Fiscella, Alessio, Alessio Fiscella, Pawan Kumar Mishra, Mishra, Pawan Kumar   +3 more
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Existência de soluções para duas classes de problemas elípticos usando a aplicação fibração relacionada à variedade de Nehari [PDF]

, 2014
The Nehari Manifold for the equation −∆u(x) = λa(x)u(x)q + b(x)u(x)p, for x ∈ Ω together with Dirichlet boundary conditions is investigated in which case a(x) = 1, λ ∈R, q = 1 and 0 0 and 0 0 e 0 < q < 1 < p < 2∗−1.
Lima, Sandra Machado de Souza
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Existence and multiplicity for fractional Dirichlet problem with $\gamma(\xi)$-Laplacian equation and Nehari manifold

, 2023
This paper is divided in two parts. In the first part, we prove coercivity results and minimization of the Euler energy functional. In the second part, we focus on the existence and multiplicity of a positive solution of fractional Dirichlet problem ...
Sousa, J. Vanterler da C., Agarwal, Ravi P., Oliveira, D. S.   +2 more
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The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition

, 2023
In this paper, we prove the existence of periodic solutions with any prescribed minimal period $T>0$ for even second order Hamiltonian systems and convex first order Hamiltonian systems under the weak Nehari condition instead of Ambrosetti-Rabinowitz's ...
Zhu, Gaosheng, Xiao, Yuming
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Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities

, 2020
In this article, using Nehari manifold method we study the multiplicity of solutions of the nonlocal elliptic system involving variable exponents and concave-convex nonlinearities, (-∆)sp(∙)u = λα(x)|u|q(x)-2u + α(x)/α(x) + β(x) c(x)|u|α(x)-2 u|v|β(x), x
Biswas, Reshmi, Tiwari, Sweta
core  

Doppler-detuned CW excitation of the n = 4 Stark manifold of atomic hydrogen

, 2004
The excitation of metastable hydrogen towards the n = 4 Stark manifold is investigated both theoretically and experimentally. The Stark Hamiltonian is diagonalized to obtain the energy levels, oscillator strengths and relaxation rates of the n = 2 and n =
Nehari, D., Urbain, Xavier
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Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the
Haining Fan, Xiaochun Liu
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