Results 1 to 10 of about 261,695 (153)

On branches of positive solutions for 𝑝-Laplacian problems at the extreme value of the Nehari manifold method

Proceedings of the American Mathematical Society, 2017
This paper is concerned with variational continuation of branches of solutions for nonlinear boundary value problems, which involve the p-Laplacian, the indefinite nonlinearity, and depend on the real parameter $\lambda$.
Yavdat Il’yasov, Kaye Silva
core   +6 more sources

Nehari manifold approach for superlinear double phase problems with variable exponents [PDF]

Annali di Matematica Pura ed Applicata (1923 -), 2022
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
Ángel Crespo‐Blanco, Patrick Winkert
semanticscholar   +5 more sources

Some applications of the Nehari manifold method to functionals in $C^1(X \setminus \{0\})$ [PDF]

Calculus of Variations and Partial Differential Equations
Given a real Banach space $X$, we show that the Nehari manifold method can be applied to functionals which are $C^1$ in $X \setminus \{0\}$. In particular we deal with functionals that can be unbounded near $0$, and prove the existence of a ground state and infinitely many critical points for such functionals.
Edir Ferreira Leite, Humberto Ramos Quoirin, Kaye Silva   +2 more
semanticscholar   +5 more sources

Existence of solutions for singular double phase problems via the Nehari manifold method [PDF]

Analysis and Mathematical Physics, 2021
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.
Wulong Liu, Guowei Dai, N. Papageorgiou, Patrick Winkert   +3 more
semanticscholar   +4 more sources

The Nehari manifold method for discrete fractional p-Laplacian equations [PDF]

Advances in Difference Equations, 2020
The aim of this paper is to investigate the multiplicity of homoclinic solutions for a discrete fractional difference equation. First, we give a variational framework to a discrete fractional p-Laplacian equation.
Xuewei Ju, Hu Die, Mingqi Xiang
semanticscholar   +4 more sources

The Nehari manifold for aψ-Hilfer fractionalp-Laplacian

Applicable Analysis, 2021
In this paper, we discuss the existence and non-existence of weak solutions to the non-linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by combining the technique of Nehari manifolds and fibering maps. Also, we
J. Vanterler da C. Sousa, Jiabin Zuo, Donal O’Regan   +2 more
semanticscholar   +4 more sources

Nehari manifold approach for fractional Kirchhoff problems with extremal value of the parameter

Fractional Calculus and Applied Analysis, 2023
In this work we study the following nonlocal problem $$\begin{aligned} \left\{ \begin{aligned} M(\Vert u\Vert ^2_X)(-\varDelta )^s u&= \lambda {f(x)}|u|^{\gamma -2}u+{g(x)}|u|^{p-2}u{} & {} \text{ in }\ \ \varOmega , \\ u&=0{} & {} \text{ on }\ \ \mathbb
P. Mishra, V. M. Tripathi
semanticscholar   +3 more sources

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
openalex   +4 more sources

The Nehari manifold approach for singular equations involving the p(x)-Laplace operator [PDF]

Complex Variables and Elliptic Equations, 2021
We study the following singular problem involving the p(x)-Laplace operator , where is a nonconstant continuous function, Here, Ω is a bounded domain in with -boundary, λ is a positive parameter, are positive weight functions with compact support in Ω ...
Dušan Repovš, Kamel Saoudi
openalex   +3 more sources

The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations [PDF]

Advances in Applied Mathematics and Mechanics
. Using Nehari manifold method combined with fibring maps, we show the existence of nontrivial, weak, positive solutions of the nonlinear ψ -Riemann-Liouville fractional boundary value problem involving the p -Laplacian operator, given ...
Samah Horrigue, Mona Alsulami, Bayan Abduallah Alsaeedi   +2 more
openalex   +2 more sources