Results 11 to 20 of about 4,806,032 (244)
Sign-changing solutions for non-local elliptic equations [PDF]
Electronic Journal of Differential Equations, 2017 This article concerns the existence of sign-changing solutions for equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions, $$\displaylines{ -\mathcal{L}_Ku=f(x,u),\quad x\in \Omega, \cr u=0,\quad
Huxiao Luo
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Electronic Journal of Differential Equations, 2015 In this article, we study the existence of sign-changing solutions to $$\displaylines{ -\Delta u+u =|u|^{p-1}u\quad \text{in } \Omega \cr \frac{\partial u}{\partial n}=\lambda |u|^{q-1}u\quad \text{on }\partial \Omega }$$ with ...
Li Wang, Peihao Zhao
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Sign-changing solutions of p-Laplacian equation with a sub-linear nonlinearity at infinity [PDF]
Electronic Journal of Differential Equations, 2013 In this article we obtain some existence and multiplicity results for sign-changing solutions of a $p$-Laplacian equation. We use the method of lower and upper solutions and Leray-Schauder degree theory.
Xian Xu, Bin Xu
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Nodal Solutions of the p-Laplacian with Sign-Changing Weight [PDF]
Abstract and Applied Analysis, 2013 We are concerned with determining values of , for which there exist nodal solutions of the boundary value problem , where is a sign-changing function, with . The proof of our main results is based upon global bifurcation techniques.
Ruyun Ma, Xilan Liu, Jia Xu
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Sign-Changing Solutions for Kirchhoff-Type Problems with Variable Exponent
Journal of Mathematics, 2023 This paper is devoted to study a class of Kirchhoff-type problems with variable exponent. By means of the perturbation technique, the method of invariant sets for the descending flow and necessary estimates and the existence of infinitely many sign ...
Changmu Chu, Ying Yu
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Infinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential
Boundary Value Problems, 2009 We consider a similinear elliptic equation with sign-changing potential −Δu−V(x)u=f(x,u), u∈H1(ℝN), where V(x) is a function possibly changing sign in ℝN.
Li Yongqing, Chen Yu
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Multiple positive solutions for Kirchhoff problems with sign-changing potential
Electronic Journal of Differential Equations, 2015 In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.
Gao-Sheng Liu +3 more
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Least energy sign-changing solutions for the nonlinear Schrodinger-Poisson system [PDF]
Electronic Journal of Differential Equations, 2017 This article concerns the existence of the least energy sign-changing solutions for the Schrodinger-Poisson system $$\displaylines{ -\Delta u+V(x)u+\lambda\phi(x)u=f(u),\quad \text{in } \mathbb{R}^3,\cr -\Delta\phi=u^2,\quad \text{in } \mathbb{R}^3.
Chao Ji, Fei Fang, Binlin Zhang
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Infinitely many sign-changing solutions for a Schr
Advances in Difference Equations, 2011 We study a superlinear Schrödinger equation in the whole Euclidean space ℝn. By using a suitable sign-changing critical point, we prove that the problem admits infinitely many sign-changing solutions, under weaker conditions.
Qian Aixia
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Multiple solutions for quasilinear elliptic equations with sign-changing potential [PDF]
Electronic Journal of Differential Equations, 2016 In this article, we study the quasilinear elliptic equation $$ -\Delta_{p} u-(\Delta_{p}u^{2})u+ V (x)|u|^{p-2}u=g(x,u), \quad x\in \mathbb{R}^N, $$ where the potential V(x) and the nonlinearity g(x,u) are allowed to be sign-changing.
Ruimeng Wang, Kun Wang, Kaimin Teng
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