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Non-radial Solutions of a Supercritical Equation in Expanding Domains: The Limit Case

2021
In this article, the main objective is to prove the existence of non-radial nodal (sign-changing) solutions of the above problem (P), in the case where the exponent a is the critical of supercritical exponent, since the rest of the cases have been studied.
openaire   +1 more source

Existence of new type Non-radial solutions for the Schrödinger-Newton equation

Differential and Integral Equations
In this paper, we consider the existence of non-radial positive solutions for the following Schrödinger-Newton equation \begin{equation*} \begin{cases} -\Delta u +V(|y|) u= \Big ( \int_{\mathbb{R}^{3}} \frac{u^{2}(z)}{|y-z|}dz \Big ) u, & y \in\mathbb{R}^{3},\\ u\in H^1(\mathbb{R}^3), \end{cases} \end{equation*} where $V$ is a bounded radially ...
Na Liu, Xiangqing Liu, Lu Yang
openaire   +1 more source

A characterization of semistable radial solutions of k-Hessian equations

Journal of Mathematical Analysis and Applications, 2021
Justino Sanchez   +1 more
exaly  

Positive radial solutions for and related topics

Applicable Analysis, 1990
Chang-Shou Lin, Song-Sun Lin
exaly  

Radial solutions of an elliptic equation with singular nonlinearity

Journal of Mathematical Analysis and Applications, 2009
Juan Davila, Marcelo Montenegro
exaly  

A note on the radial solutions for the supercritical Hénon equation

Journal of Mathematical Analysis and Applications, 2008
Enrico Serra   +2 more
exaly  

Regularity of radial minimizers and extremal solutions of semilinear elliptic equations

Journal of Functional Analysis, 2006
Xavier Cabré, Antonio Capella
exaly  

Semi-stable radial solutions of p-Laplace equations in RN

Nonlinear Analysis: Theory, Methods & Applications, 2017
Salvador Villegas
exaly  

Nonexistence of positive radial solutions for a problem with singular potential

Advances in Nonlinear Analysis, 2014
Florin Catrina
exaly  

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