Results 21 to 30 of about 61 (58)

A Critical Point Theorem for Perturbed Functionals and Low Perturbations of Differential and Nonlocal Systems

Advanced Nonlinear Studies, 2020
In this paper we establish a new critical point theorem for a class of perturbed differentiable functionals without satisfying the Palais–Smale condition.
Bahrouni Anouar, Rădulescu Vicenţiu D., Winkert Patrick   +2 more
doaj   +1 more source

Normalized solutions for Sobolev critical fractional Schrödinger equation

Advances in Nonlinear Analysis
In the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing, Nie Jianjun, Wang Wenbo, Zhou Jianwen   +3 more
doaj   +1 more source

Solutions of nonlinear problems involving p(x)-Laplacian operator

Advances in Nonlinear Analysis, 2015
In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
doaj   +1 more source

Positive solutions for parametric (p(z),q(z))-equations

Open Mathematics, 2020
We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek, Krech Ireneusz, Papageorgiou Nikolaos S.   +2 more
doaj   +1 more source

Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper we are interested in the existence of solutions for Dirichlet problem associated with the degenerate nonlinear elliptic ...
Cavalheiro Albo Carlos
doaj   +1 more source

Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

Open Mathematics, 2017
In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…,
Gorban Yuliya
doaj   +1 more source

Besov regularity for the elliptic p-harmonic equations in the non-quadratic case

Advances in Nonlinear Analysis
In this article, we mainly establish the local extra fractional differentiability (Besov regularity) of weak solutions for the following divergence nonlinear elliptic equations of pp-Laplacian type: divA(Du,x)=divF,\hspace{0.1em}\text{div}\hspace{0.1em}A(
Yao Fengping
doaj   +1 more source

Existence for (p, q) critical systems in the Heisenberg group

Advances in Nonlinear Analysis, 2019
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
doaj   +1 more source

Regularity for double-phase functionals with nearly linear growth and two modulating coefficients

Advances in Nonlinear Analysis
We deal with non-uniformly elliptic integral functionals w↦∫c(x)∣Dw∣log(1+∣Dw∣)+a(x)(∣Dw∣2+s2)q2+1dx,w\mapsto \int \left[{\mathfrak{c}}\left(x)| Dw| \log \left(1+| Dw| )+a\left(x){\left({| Dw| }^{2}+{s}^{2})}^{\tfrac{q}{2}}+1\right]{\rm{d}}x, with s∈[0,1]
Kim Bogi, Oh Jehan
doaj   +1 more source

Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system

Advances in Nonlinear Analysis, 2017
We study the non-existence and existence of infinitely many solutions to the semilinear degenerate elliptic ...
Anh Cung The, My Bui Kim
doaj   +1 more source