A Liouville theorem for a class semilinear elliptic equations on the Heisenberg group [PDF]
Xinan Ma, Q. Ou
semanticscholar +1 more source
$1$D symmetry for solutions of semilinear and quasilinear elliptic equations [PDF]
Alberto Farina, Enrico Valdinoci
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Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities, revised eddition [PDF]
Shinji Kawano
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The critical Neumann problem for semilinear elliptic equations with the Hardy potential [PDF]
J. Chabrowski
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Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one
In this article, we consider a semilinear elliptic equations of the form $Delta u+f(u)=0$, where $f$ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in $(0,1)$.
Janos Englander, Peter L. Simon
doaj
Harnack inequality for non-divergence structure semi-linear elliptic equations
In this paper we establish a Harnack inequality for non-negative solutions of Lu=f(u){Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at ...
Mohammed Ahmed, Porru Giovanni
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On global solutions to semilinear elliptic equations related to the\n one-phase free boundary problem [PDF]
Xavier Fernández‐Real +1 more
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Dimension of the set of positive solutions to nonlinear equations and applications
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]
Corella AD, Jork N, Veliov VM.
europepmc +1 more source
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
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