Results 21 to 30 of about 2,202 (138)
The Nehari manifold for systems of nonlinear elliptic equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adriouch, K., El Hamidi, A.
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Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in ℝ4
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.
Khadidja Sabri +4 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)&= f(x)|u|^{q-2}u+ \frac{2 }{ + }\left|u\right|^{ -2}u|v|^ & \text{in } ,\\ \mc L_M(v)&= g(x)|v|^{q-2}v+ \frac{2 }{ + }\left|u\right|^ |v|^{ -2}v ...
do Ó, J. M. +2 more
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The Nehari manifold for a degenerate logistic parabolic equation
, 2023 The present paper analyses the behavior of solutions to a degenerate logistic equation with a nonlinear term of the form b(x)f(u), where the weight function b is assumed to be nonpositive. We exploit variational techniques and comparison principle in order to study the evolutionary dynamics.
Fernandes, Juliana, Maia, Liliane A.
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On a class of nonlocal nonlinear Schrödinger equations with potential well
Advances in Nonlinear Analysis, 2019 In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the ...
Wu Tsung-fang
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Electronic Journal of Differential Equations, 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, $$\displaylines{ (-\Delta)_{p(\cdot)}^{s} u=\lambda a(x)| u|^{q(x)-2}u+\frac{\alpha(x)}{\alpha(x) +\beta(x)}c(x)| u|^{\alpha(x)-2}u| v| ^{\beta(x)}, \quad x\in \Omega; \cr (-
Reshmi Biswas, Sweta Tiwari
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Existence of Weak Solutions for Nonlinear Time-Fractional p-Laplace Problems
Journal of Applied Mathematics, 2014 The existence of weak solution for p-Laplace problem is studied in the paper. By exploiting the relationship between the Nehari manifold and fibering maps and combining the compact imbedding theorem and the behavior of Palais-Smale sequences in the ...
Meilan Qiu, Liquan Mei
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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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Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping [PDF]
Mathematica Moravica, 2021 A Kirchhoff equation type with memory term competing with a logarithmic source is considered. By using potential well theory, we obtained the global existence of solution for the initial data in a stability set created from Nehari Manifold and prove blow
Ferreira Jorge +3 more
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Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients [PDF]
, 2016 We consider the nonlinear curl-curl problem $\nabla\times\nabla\times U + V(x) U=f(x,|U|^2)U$ in $\mathbb{R}^3$ related to the nonlinear Maxwell equations with Kerr-type nonlinear material laws.
Hirsch, Andreas, Reichel, Wolfgang
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