Results 31 to 40 of about 203 (82)

Existence results for nonlinear degenerate elliptic equations with lower order terms

Advances in Nonlinear Analysis, 2020
In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
doaj   +1 more source

Existence of solutions for a class of degenerate quasilinear elliptic equation in RN with vanishing potentials

, 2013
We establish the existence of positive solution for the following class of degenerate quasilinear elliptic problem (P){−Luap+V(x)|x|−ap∗|u|p−2u=f(u)in RN,u>0in RN;u∈Da1,p(RN), where −Luap=−div(|x|−ap|∇u|p−2∇u ...
W. D. Bastos, O. Miyagaki, R. S. Vieira
semanticscholar   +1 more source

Multiple solutions for Neumann systems in an Orlicz-Sobolev space setting

, 2017
In this paper, the authors improve some results on the existence of at least three weak solutions for non-homogeneous systems. The proof of the main result relies on a recent variational principle due to Ricceri.
G. Afrouzi, J. Graef, S. Shokooh
semanticscholar   +1 more source

SOLUTIONS FOR THE P ( X )-LAPLACIAN WITH DEPENDENCE ON THE GRADIENT

, 2017
This paper is concerned with the existence of nontrivial solutions for p(x)Laplacian equations with gradient dependence { −div ( |∇u|p(x)−2∇u ) + |u|p(x)−2 u = f(x, u, |∇u|p(x)−2∇u) in Ω, u = 0 on ∂Ω, (P) The techniques are based on an iterative scheme ...
R. Ayazoğlu, S. Akbulutb, E. Akkoyunluc
semanticscholar   +1 more source

A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

Moroccan Journal of Pure and Applied Analysis, 2017
In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
doaj   +1 more source

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

On a new p(x)-Kirchhoff type problems with p(x)-Laplacian-like operators and Neumann boundary conditions

Acta Universitatis Sapientiae: Mathematica, 2023
In this paper we study a Neumann boundary value problem of a new p(x)-Kirchhoff type problems driven by p(x)-Laplacian-like operators. Using the theory of variable exponent Sobolev spaces and the method of the topological degree for a class of ...
Ouaarabi Mohamed El, Allalou Chakir, Melliani Said   +2 more
doaj   +1 more source

A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p

Moroccan Journal of Pure and Applied Analysis, 2017
We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
doaj   +1 more source

Regularity results for degenerate elliptic equations related to Gauss measure

, 2007
In this paper we study a Dirichlet problem relative to the equation Lu = gφ− (f iφ)xi , where L is a linear elliptic operator with lower-order terms whose ellipticity condition is given in terms of the function φ(x) = (2π)− 2 exp ( − |x| /2 ) , the ...
G. Blasio, F. Feo, M. Posteraro
semanticscholar   +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