On the existence and Lp(Rn) bifurcation for the semilinear elliptic equation
, 1991 Deng Yinbing +2 more
openalex +1 more source
Multiplicity results for nonlinear elliptic equations
Electronic Journal of Differential Equations, 2006 Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud +2 more
doaj
A proof of validity for multiphase Whitham modulation theory. [PDF]
Proc Math Phys Eng Sci, 2020 Bridges TJ, Kostianko A, Schneider G.
europepmc +1 more source
Existence of bounded solutions for semilinear degenerate elliptic equations with absorption term [PDF]
, 1998 Toshio Horiuchi
openalex +1 more source
Asymptotic solutions of semilinear elliptic equations
Journal of Mathematical Analysis and Applications, 1984 Charles A. Swanson, Kurt Kreith
openaire +2 more sources
An inverse boundary-value problem for semilinear elliptic equations
Electronic Journal of Differential Equations, 2010 We show that in dimension two or greater, a certain equivalence class of the scalar coefficient $a(x,u)$ of the semilinear elliptic equation $Delta u,+a(x,u)=0$ is uniquely determined by the Dirichlet to Neumann map of the equation on a bounded ...
Ziqi Sun
doaj
Nonnegative entire solutions of a class of degenerate semilinear elliptic equations
, 1990 Nobuyoshi Fukagai
openalex +1 more source
Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations [PDF]
, 2000 Eduardo Casas +2 more
openalex +1 more source
A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth [PDF]
, 2018 Yasuhito Miyamoto
semanticscholar +1 more source
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities
Electronic Journal of Differential Equations, 2005 We study the existence of positive solutions for a fourth order semilinear elliptic equation under Navier boundary conditions with positive, increasing and convex source term. Both bounded and unbounded solutions are considered. When compared with second
Filippo Gazzola, Elvise Berchio
doaj