Results 1 to 10 of about 74 (68)
Journal of Functional Analysis, 2005 In this paper it is proved a critical point theorem of mountain-pass type which yields a sequence of critical points converging to zero. The proof combines a pseudo-gradient property with a deformation lemma. The abstract result is applied for proving a multiplicity result for the semilinear elliptic equation \(-\Delta u=f(x,u)\) in \(\Omega\) under ...
Ryuji Kajikiya
exaly +3 more sources
Symmetric Mountain Pass Lemma and Sublinear Elliptic Equations
Journal of Differential Equations, 2016 This paper deals with the qualitative analysis of solutions of a class of quasilinear elliptic equations with Dirichlet zero boundary condition. The main result of this paper establishes a necessary and sufficient condition such that the zero solution is an accumulation point of the set of all solutions.
Ryuji Kajikiya
exaly +3 more sources
Communications in Mathematical ResearchThe purpose of this paper is to solve equation for a class of quasilinear elliptic operators containing the p(·)-Laplacian and the mean curvature operator with mixed boundary conditions. More precisely, we are concerned with the problem that has the Dirichlet condition in one part of the boundary and the Steklov condition in another.
Junichi Aramaki
exaly +2 more sources
Open Mathematics, 2023 The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang +2 more
doaj +1 more source
Existence and multiplicity of solutions for a new p(x)-Kirchhoff problem with variable exponents
Open Mathematics, 2023 In this article, we study a class of new p(x)-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, we introduce new methods to show the boundedness of Cerami sequences.
Chu Changmu, Xie Yanling, Zhou Dizhi
doaj +1 more source
Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos
Selecciones Matemáticas, 2020 We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous ...
Marco Calahorrano, Israel Cevallos
doaj +1 more source
Electronic Journal of Differential Equations, 2021 Let \(\Omega\subset\mathbb{R}^{N}\) be a bounded domain with smooth boundary and \(0\in\Omega\).
Xiaolu Lin, Shenzhou Zheng
doaj +3 more sources
Mixed local and nonlocal Schrodinger-Poisson type system involving variable exponents
Electronic Journal of Differential Equations, 2022 We consider the existence of solutions for a class of Schrodinger-Poisson type equations with mixed local and nonlocal p-Laplacian. More precisely, we obtain two distinct nontrivial solutions for the problem involving variable exponents growth by the ...
Xiaolu Lin, Shenzhou Zheng
doaj +3 more sources
Mathematical Methods in the Applied Sciences, Volume 46, Issue 16, Page 16782-16801, 15 November 2023., 2023 In this article, we obtain the existence and infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters, via combining the variational method, and the concentration‐compactness principle for anisotropic variable exponent under suitable assumptions on the ...
Nabil Chems Eddine +2 more
wiley +1 more source
Journal of Geophysical Research: Earth Surface, Volume 128, Issue 8, August 2023., 2023 Abstract Shallow landslides pose a significant threat to people and infrastructure. Despite significant progress in the understanding of such phenomena, the evaluation of the size of the landslide release zone, a crucial input for risk assessment, still remains a challenge.
Louis Guillet +4 more
wiley +1 more source