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Non-radial Solutions of a Supercritical Equation in Expanding Domains: The Limit Case
2021In 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.
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Existence of new type Non-radial solutions for the Schrödinger-Newton equation
Differential and Integral EquationsIn 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
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A characterization of semistable radial solutions of k-Hessian equations
Journal of Mathematical Analysis and Applications, 2021Justino Sanchez +1 more
exaly
Non-radial solutions with group invariance for the sublinear Emden–Fowler equation
Nonlinear Analysis: Theory, Methods & Applications, 2001openaire +2 more sources
Positive radial solutions for and related topics
Applicable Analysis, 1990Chang-Shou Lin, Song-Sun Lin
exaly
Radial solutions of an elliptic equation with singular nonlinearity
Journal of Mathematical Analysis and Applications, 2009Juan Davila, Marcelo Montenegro
exaly
A note on the radial solutions for the supercritical Hénon equation
Journal of Mathematical Analysis and Applications, 2008Enrico Serra +2 more
exaly
Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
Journal of Functional Analysis, 2006Xavier Cabré, Antonio Capella
exaly
Semi-stable radial solutions of p-Laplace equations in RN
Nonlinear Analysis: Theory, Methods & Applications, 2017Salvador Villegas
exaly
Nonexistence of positive radial solutions for a problem with singular potential
Advances in Nonlinear Analysis, 2014Florin Catrina
exaly

