Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations [PDF]
Eduardo Casas+2 more
openalex +1 more source
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities
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
A construction of singular solutions for a semilinear elliptic equation using asymptotic analysis
Rafe Mazzeo, Frank Pacard
openalex +2 more sources
Removable singularities for semilinear degenerate elliptic equations and its application [PDF]
Toshio Horiuchi
openalex +1 more source
A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth [PDF]
Yasuhito Miyamoto
semanticscholar +1 more source
Existence of infinitely many solutions for semilinear elliptic equations
In this article, we study the existence and infinitely many solutions for the elliptic boundary-value problem $$\displaylines{ -\Delta u+a(x)u=f(x,u) \quad\text{in }\Omega, \cr u=0 \quad\text{on }\partial\Omega.
Hui-Lan Pan, Chun-Lei Tang
doaj
Existence and multiplicity of solutions for systems of semilinear elliptic equations
Gastón E. Hernández, Yung Sze Choi
openalex +2 more sources
On the blow-up and positive entire solutions of semilinear elliptic equations [PDF]
Jann–Long Chern
openalex +1 more source
Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations. [PDF]
Beck C, Gonon L, Jentzen A.
europepmc +1 more source