Sign-changing solutions for some nonlinear problems with strong resonance [PDF]
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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On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
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On Schrodinger Equation with Periodic Potential and Critical Sobolev Exponent
, 1998 The main purpose of this paper is to establish the existence of a solution of the semilinear Schr¨odinger equation (1) −u + V (x)u = K(x)|u|2−2u + f(x, u) in RN, involving a critical Sobolev exponent 2 = 2N/(N − 2) with N 4 and a subcritical nonlinearity
J. Chabrowski, Jian-Fu Yang
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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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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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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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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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On a singular elliptic problem with variable exponent
, 2023 In the present note we study a semilinear elliptic Dirichlet problem involving a singular term with variable exponent of the following type. Existence and uniqueness results are proved when f ≥ 0.
FARACI, Francesca, Francesca Farraci
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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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