Results 1 to 10 of about 199 (78)
Sign-changing solutions for some nonlinear problems with strong resonance
Boundary Value Problems, 2011 By means of critical point and index theories, we obtain the existence and multiplicity of sign-changing solutions for some elliptic problems with strong resonance at infinity, under weaker conditions.
Qian Aixia
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Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms
Differential Equations & Applications, 2021 In this paper, we consider a class of fractional p -Laplacian system with three fractional critical Sobolev-Hardy exponents. By the Ekeland variational principle and the MountainPass theorem, we study the existence and multiplicity of positive solutions ...
I. Dehsari, N. Nyamoradi
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Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.
Chakrone O. +3 more
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Gradient estimate of the solutions to Hessian equations with oblique boundary value
Advanced Nonlinear Studies, 2022 In this paper, we study Hessian equations with the prescribed contact angle boundary value or oblique derivative boundary value and finally derive the a priori global gradient estimate for the admissible solutions.
Wang PeiHe
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New class of sixth-order nonhomogeneous p(x)-Kirchhoff problems with sign-changing weight functions
Advances in Nonlinear Analysis, 2021 In this paper, we prove the existence of multiple solutions for the following sixth-order p(x)-Kirchhoff-type ...
Hamdani Mohamed Karim +2 more
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Construction of Solutions for Hénon-Type Equation with Critical Growth
Advanced Nonlinear Studies, 2021 We consider the following Hénon-type problem with critical growth:
Guo Yuxia, Liu Ting
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Boundary Value Problems, 2014 In this paper, we study the following fourth-order elliptic equations of Kirchhoff type: △2u−(a+b∫R3|∇u|2dx)△u+V(x)u=f(x,u), in R3, u∈H2(R3), where a,b>0 are constants, we have the potential V(x):R3→R and the nonlinearity f(x,u):R3×R→R.
Liping Xu, Haibo Chen
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Capillary Schwarz symmetrization in the half-space
Advanced Nonlinear Studies, 2023 In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space.
Lu Zheng, Xia Chao, Zhang Xuwen
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Uniqueness of positive solutions for several classes of sum operator equations and applications
Journal of Inequalities and Applications, 2014 In this article we study several classes of sum operator equations on ordered Banach spaces and present some new existence and uniqueness results of positive solutions, which extend the existing corresponding results. Moreover, we establish some pleasant
Chen Yang, C. Zhai, Mengru Hao
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Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator
Moroccan Journal of Pure and Applied Analysis, 2022 In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s ...
Karim Belhadj +3 more
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