Results 1 to 10 of about 32 (32)
Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System
Advanced Nonlinear Studies, 2021 We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
doaj +1 more source
Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems
Advanced Nonlinear Studies, 2021 We study existence and convergence properties of least-energy symmetric solutions (l.e.s.s.) to the pure critical exponent ...
Hernández-Santamaría Víctor +1 more
doaj +1 more source
Arab Journal of Mathematical Sciences, 2014 In this paper, the existence of infinitely many solutions for a class of systems of n fourth order partial differential equations coupled with Navier boundary conditions is established.
Shapour Heidarkhani
doaj +1 more source
Estimates for the Green function and singular solutions for polyharmonic nonlinear equation
Abstract and Applied Analysis, Volume 2003, Issue 12, Page 715-741, 2003., 2003 We establish a new form of the 3G theorem for polyharmonic Green function on the unit ball of ℝn(n ≥ 2) corresponding to zero Dirichlet boundary conditions. This enables us to introduce a new class of functions Km,n containing properly the classical Kato class Kn.
Imed Bachar +3 more
wiley +1 more source
On the spectrum of Robin boundary p-Laplacian problem
Moroccan Journal of Pure and Applied Analysis, 2019 We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
doaj +1 more source
Results in Physics, 2018 In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
H.M. Jaradat +4 more
doaj +1 more source
Weak solutions of degenerated quasilinear elliptic equations of higher order
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 689-706, 1996., 1995 We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper ...
Pavel Drábek +2 more
wiley +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Let Ω be a bounded domain in with smooth boundary, and let 𝓧1; 𝓧2; · · ·, 𝓧m be points in Ω. We are concerned with the singular stationary non-homogenous q-Kuramoto-Sivashinsky eaquation (q-KSE:
Ouni Taieb +2 more
doaj +1 more source
Biharmonic eigen‐value problems and Lp estimates
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 469-480, 1990., 1989 Biharmonic eigen‐values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp‐estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen‐values of the associated biharmonic operators. The
Chaitan P. Gupta, Ying C. Kwong
wiley +1 more source
Positive bounded solutions for nonlinear polyharmonic problems in the unit ball
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we study the existence of positive solutions for the following nonlinear polyharmonic equation (-∆)mu+λf(x, u) = 0 in B; subject to some boundary conditions, where m is a positive integer, λ is a nonnegative constant and B is the unit ball
Mâagli Habib, Zine El Abidine Zagharide
doaj +1 more source