Results 61 to 70 of about 236 (76)
Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
Advanced Nonlinear Studies, 2018 This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
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Symmetric and Asymmetric Solutions of p-Laplace Elliptic Equations in Hollow Domains
Advanced Nonlinear Studies, 2018 In the present paper, we study the p-Laplace equation in a hollow symmetric bounded domain. Let H and G be closed subgroups of the orthogonal group such that H⊊G{H\varsubsetneq G}.
Kajikiya Ryuji
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A Diffusion Equation with a Variable Reaction Order
Advanced Nonlinear Studies, 2018 This paper deals with the ...
García-Melián Jorge +2 more
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Existence and Asymptotic Behavior for the Ground State of Quasilinear Elliptic Equations
Advanced Nonlinear Studies, 2018 In this paper, we are concerned with the existence and asymptotic behavior of minimizers of a minimization problem related to some quasilinear elliptic equations.
Zeng Xiaoyu, Zhang Yimin
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Advances in Nonlinear Analysis, 2019 This paper is dedicated to studying the nonlinear Schrödinger equations of the ...
Chen Sitong, Tang Xianhua
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Sign changing solutions of the Hardy–Sobolev–Maz'ya equation
Advances in Nonlinear Analysis, 2014 In this article we will study the existence, multiplicity and Morse index of sign changing solutions for the Hardy–Sobolev–Maz'ya (HSM) equation in bounded domain and involving critical growth.
Ganguly Debdip
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On coupled systems of nonlinear Schrödinger and Choquard equations with distinct exponents
Advanced Nonlinear StudiesIn this paper, we are interested in the existence of a positive solution of the two coupled system of nonlinear Schrödinger and Choquard equations. Our equations admit the case that the nonlinearity exponents of two components are different.
Choi Dohoon, Lim Subong, Seok Jinmyoung
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Fractional elliptic equations with critical exponential nonlinearity
Advances in Nonlinear Analysis, 2016 We study the existence of positive solutions for fractional elliptic equations of the type (-Δ)1/2u = h(u), u > 0 in (-1,1), u = 0 in ℝ∖(-1,1) where h is a real valued function that behaves like eu2 as u → ∞ .
Giacomoni Jacques +2 more
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Bubbles clustered inside for almost-critical problems
Open MathematicsWe investigate the existence of blowing-up solutions of the following almost-critical problem: −Δu+V(x)u=up−ε,u>0inΩ,u=0on∂Ω,-\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hspace{0.25em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\
Ayed Mohamed Ben, El Mehdi Khalil
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Accelerated Optimization in the PDE Framework Formulations for the Active Contour Case. [PDF]
SIAM J Imaging Sci, 2020 Yezzi A, Sundaramoorthi G, Benyamin M.
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