Results 11 to 20 of about 523 (145)

Critical Fractional p-Laplacian System with Negative Exponents

Journal of Function Spaces, 2023
In this paper, we consider a class of fractional p-Laplacian problems with critical and negative exponents. By decomposition of the Nehari manifold, the existence and multiplicity of nontrivial solutions for the above problems are established with ...
Qinghao Zhu, Jianming Qi
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NON-NEHARI MANIFOLD METHOD FOR SUPERLINEAR SCHRÖDINGER EQUATION [PDF]

Taiwanese Journal of Mathematics, 2014
We consider the boundary value problem \begin{equation} \label{(0.1)} \left\{ \begin{array}{ll} -\triangle u+V(x)u=f(x, u), \ \ \ \  & x\in \Omega,\\ u=0, \ \ \ \ & x\in \partial\Omega, \end{array} \right. \end{equation} where $ \Omega \subset \mathbb R^N$ be a bounded domain, $\inf_{\Omega}V(x)>-\infty$, $f$ is a superlinear, subcritical ...
Xianhua Tang
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Multiple Solutions for Singular Systems with Sign-Changing Weight, Nonlinear Singularities and Critical Exponent

International Journal of Differential Equations
This paper is an attempt to establish the existence and multiplicity results of nontrivial solutions to singular systems with sign-changing weight, nonlinear singularities, and critical exponent.
Mohammed El Mokhtar Ould El Mokhtar, Saleh Fahad Aljurbua   +1 more
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Nehari manifold for degenerate logistic parabolic equations

Electronic Journal of Differential Equations
In this article we analyze the behavior of solutions to a degenerate logistic equation with a nonlinear term $b(x)f(u)$ where the weight function $b$ is non-positive.
Juliana Fernandes, Liliane Maia
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Nehari manifold and fractional Dirichlet boundary value problem

Analysis and Mathematical Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa, Nemat Nyamoradi, Mohammed Lamine Moussaoui   +2 more
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The Nehari manifold for a degenerate logistic parabolic equation [PDF]

, 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.
Juliana Dumêt Fernandes, Liliane A. Maia   +1 more
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Positive solutions for weighted singular $p$-Laplace equations via Nehari manifolds [PDF]

Applicable Analysis, 2019
In this paper we study weighted singular $p$-Laplace equations involving a bounded weight function which can be discontinuous. Due to its discontinuity classical regularity results cannot be applied. Based on Nehari manifolds we prove the existence of at least two positive bounded solutions of such problems.
Nikolaos S. Papageorgiou, Patrick Winkert   +1 more
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Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities

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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Gluing approximate solutions of minimum type on the Nehari manifold

Electronic Journal of Differential Equations, 2001
In the last decade or so, variational gluing methods have been widely used to construct homoclinic and heteroclinic type solutions of nonlinear elliptic equations and Hamiltonian systems.
Yanyan Li, Zhi-Qiang Wang
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Nehari manifold and multiplicity result for elliptic equation involving p-laplacian problems

Boletim da Sociedade Paranaense de Matemática, 2017
This article shows the existence and multiplicity of positive solutions of the $p$-Laplacien problem $$\displaystyle -\Delta_{p} u=\frac{1}{p^{\ast}}\frac{\partial F(x,u)}{\partial u} + \lambda a(x)|u|^{q-2}u \quad \mbox{for } x\in\Omega;\quad \quad u=0,\quad \mbox{for } x\in\partial\Omega$$ where $\Omega$ is a bounded open set in $\mathbb{R}^n$ with ...
Khaled Ben Ali, Abdeljabbar Ghanmi
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