Results 81 to 90 of about 16,726 (202)
Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
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Ground states of semilinear elliptic equations
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Caju, Rayssa +3 more
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Isolated singularity for semilinear elliptic equations
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Wei, Lei, Feng, Zhaosheng
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Symmetry breaking and semilinear elliptic equations
Symmetry breaking bifurcations (SBB's) are studied which occur on the radially symmetric solution branches of the semilinear elliptic equation \(\Delta u+\lambda f(u)=0\) on the unit ball in the space \(R^ 3\). A general theory is developed which permits a straightforward calculation of the SBB's.
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Solutions to nonlinear elliptic equations with a nonlocal boundary condition
We study an elliptic equation and its evolution problem on a bounded domain with nonlocal boundary conditions. Eigenvalue problems, existence, and dynamic behavior of solutions for linear and semilinear equations are investigated.
Yuandi Wang
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The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation. [PDF]
Baumann P, Mazari-Fouquer I, Sturm K.
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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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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
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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
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On the solution stability of parabolic optimal control problems. [PDF]
Corella AD, Jork N, Veliov VM.
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