Dimension of the set of positive solutions to nonlinear equations and applications
Electronic Journal of Differential Equations, 2016 We study the covering dimension of the set of (positive) solutions to various classes of nonlinear equations involving condensing and A-proper maps. It is based on the nontriviality of the fixed point index of a certain condensing map or on oddness ...
Petronije S. Milojevic
doaj
On the solution stability of parabolic optimal control problems. [PDF]
Comput Optim Appl, 2023 Corella AD, Jork N, Veliov VM.
europepmc +1 more source
Electronic Journal of Differential Equations, 2015 This article shows the existence of solutions by the least action principle, for semilinear elliptic equations with Neumann boundary conditions, under critical growth and local coercive conditions.
Qin Jiang, Sheng Ma
doaj
Semilinear degenerate elliptic equation in the presence of singular nonlinearity [PDF]
, 2023 Kaushik Bal, Sanjit Biswas
openalex +1 more source
Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition
International Journal of Mathematics and Mathematical Sciences, 2011 This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition. The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the ...
Elliot Tonkes
doaj +1 more source
Stable solutions to semilinear elliptic equations are smooth up to\n dimension 9 [PDF]
, 2019 Xavier Cabré +3 more
openalex +1 more source
Oscillation criteria for semilinear elliptic equations with a damping term in R^n
Electronic Journal of Differential Equations, 2010 We use a method based on Picone-type identities to find oscillation conditions for the equation $$ sum_{i j =1}^n frac{partial}{partial x_i} Big( a_{ij}(x) frac{partial}{partial x_j} Big)u + f(x,u, abla u) + c(x) u =0,, $$ with Dirichlet boundary ...
Tadie
doaj
On oscillating radial solutions for non-autonomous semilinear elliptic equations
AIMS MathematicsWe consider semilinear elliptic equations of the form $ \Delta u + f(|x|, u) = 0 $ on $ {\mathbb{R}}^{N} $ with $ f(|x|, u) = q(|x|)g(u) $. These type of equations arise in various problems in applied mathematics, and particularly in the study of ...
H. Al Jebawy, H. Ibrahim, Z. Salloum
doaj +1 more source
On global solutions to semilinear elliptic equations related to the\n one-phase free boundary problem [PDF]
, 2018 Xavier Fernández‐Real +1 more
openalex +1 more source
A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart
, 2021 Christos Sourdis
openalex +1 more source