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
Structure Results for Semilinear Elliptic Equations with Hardy Potentials
Advanced Nonlinear Studies, 2018 We prove structure results for the radial solutions of the semilinear ...
Franca Matteo, Garrione Maurizio
doaj +1 more source
Comparison results for semilinear elliptic equations via Picone-type identities
Electronic Journal of Differential Equations, 2009 By means of a Picone's type identity, we prove uniqueness and oscillation of solutions to an elliptic semilinear equation with Dirichlet boundary conditions.
Tadie
doaj
A singular perturbation result for a class of periodic-parabolic BVPs
Open MathematicsIn this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago +2 more
doaj +1 more source
The Dirichlet problem for the Poisson type equations in the plane
Доповiдi Нацiональної академiї наук УкраїниWe present a new approach to the study of semilinear equations of the form div [A(z)∇u] = f (u), the diffusion term of which is the divergence uniform elliptic operator with measurable matrix functions A(z), whereas its reaction term f (u) is a ...
V.Ya. Gutlyanskiĭ +2 more
doaj +1 more source
A free boundary problem for semilinear elliptic equations
, 1986 The regularity of the free boundary for the following problem was investigated: \[ \Delta u=a(x,u)\gamma u^{\gamma -1}\text{ on } \Omega \cap \{u>0\},\quad 00\}\) where a tangent plane in measure exists, which is denoted by \(\partial_{red}\{u>0\};\) 3) A notion of 'flat' free boundary point was introduced; 4) The \(C^{1,\alpha}\) surface regularity of
Alt, H.W., Phillips, D.
openaire +1 more source
Inverse eigenvalue problems for semilinear elliptic equations
Electronic Journal of Differential Equations, 2009 We consider the inverse nonlinear eigenvalue problem for the equation $$displaylines{ -Delta u + f(u) = lambda u, quad u > 0 quad hbox{in } Omega,cr u = 0 quad hbox{on } partialOmega, } where $f(u)$ is an unknown nonlinear term, $Omega subset ...
Tetsutaro Shibata
doaj
Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
europepmc +1 more source
Existence of positive solutions for Dirichlet problems of some singular elliptic equations
Electronic Journal of Differential Equations, 2003 When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations similar to the singular Emden-Fowler equation.
Zhiren Jin
doaj
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]
Ann PDE, 2022 Kehle C, Ramos JPG.
europepmc +1 more source