Results 31 to 40 of about 2,202 (138)

Second-order derivative of domain-dependent functionals along Nehari manifold trajectories [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2020
Assume that a family of domain-dependent functionals EΩt possesses a corresponding family of least energy critical points ut which can be found as (possibly nonunique) minimizers of EΩt over the associated Nehari manifold N(Ωt). We obtain a formula for the second-order derivative of EΩt with respect to t along Nehari manifold trajectories of the form ...
Vladimir Bobkov, Sergey Kolonitskii
openaire   +4 more sources

On p-Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent

Journal of Function Spaces, 2022
In this paper, we deal with p-Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial ...
Mohammed El Mokhtar ould El Mokhtar
doaj   +1 more source

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

, 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 $\lambda$.
Il'yasov, Yavdat, Silva, Kaye
core   +1 more source

Nodal solutions for the Choquard equation [PDF]

, 2016
We consider the general Choquard equations $$ -\Delta u + u = (I_\alpha \ast |u|^p) |u|^{p - 2} u $$ where $I_\alpha$ is a Riesz potential. We construct minimal action odd solutions for $p \in (\frac{N + \alpha}{N}, \frac{N + \alpha}{N - 2})$ and ...
Ghimenti, Marco, Van Schaftingen, Jean
core   +2 more sources

Positive solutions for weighted singularp-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
openaire   +2 more sources

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
doaj  

Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity

, 2017
We study a $p$-Laplacian equation involving a parameter $\lambda$ and a concave-convex nonlinearity containing a weight which can change sign. By using the Nehari manifold and the fibering method, we show the existence of two positive solutions on some ...
Macedo, Abiel, Silva, Kaye
core   +1 more source

Multiple solutions for a fractional Laplacian system involving critical Sobolev-Hardy exponents and homogeneous term

Mathematical Modelling and Analysis, 2020
In this paper, we deal with a class of fractional Laplacian system with critical Sobolev-Hardy exponents and sign-changing weight functions in a bounded domain.
Jinguo Zhang, Tsing-San Hsu
doaj   +1 more source

Ground state solution of a noncooperative elliptic system

, 2013
In this paper, we study the existence of a ground state solution, that is, a non trivial solution with least energy, of a noncooperative semilinear elliptic system on a bounded domain.
Batkam, Cyril Joel
core   +1 more source

Multiplicity of Weak Positive Solutions for Fractional p & q Laplacian Problem with Singular Nonlinearity

Journal of Function Spaces, 2020
In this paper, we prove the existence and multiplicity of positive solutions for a class of fractional p & q Laplacian problem with singular nonlinearity.
Dandan Yang, Chuanzhi Bai
doaj   +1 more source