Results 21 to 30 of about 243 (108)
The Bahri–Coron Theorem for Fractional Yamabe-Type Problems
We study the following fractional Yamabe-type equation:
Abdelhedi Wael +2 more
doaj +1 more source
Nonexistence of Solutions for Dirichlet Problems with Supercritical Growth in Tubular Domains
We deal with Dirichlet problems of the ...
Molle Riccardo, Passaseo Donato
doaj +1 more source
Species survival versus eigenvalues
Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana +2 more
wiley +1 more source
Logistic equation with the p‐Laplacian and constant yield harvesting
We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti +2 more
wiley +1 more source
On a Nonstandard Boundary Value Problem for the Laplace Operator in the Plane [PDF]
[Popivanov Petar; Попиванов Петър]2010 Mathematics Subject Classification: 35J05, 35J65, 35J67 ...
Popivanov, Petar
core +1 more source
Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces
Existence result for strongly nonlinear elliptic equation with a natural growth condition on the nonlinearity is proved.
A. Elmahi, D. Meskine
wiley +1 more source
Multiple positive solutions for quasilinear elliptic problems with sign‐changing nonlinearities
Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of p‐Laplace equations of gradient form. Then we study a p‐Laplace‐type problem with nonlinear boundary conditions.
Julián Fernández Bonder
wiley +1 more source
In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
doaj +1 more source
Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic
In this paper, the authors study an optimal control problem for quasilinear elliptic PDEs with pointwise state constraints. Weak and strong optimality conditions of Pontryagin maximum principle type are derived. In proving these results, we penalized the
E. Casas, Jiong-Min Yong
semanticscholar +1 more source
An equality for the curvature function of a simple and closed curve on the plane
We prove an equality for the curvature function of a simple and closed curve on the plane. This equality leads to another proof of the four‐vertex theorem in differential geometry. While examining the regularity assumption on the curve for the equality, we make comments on the relation between the boundary regularity of a Riemann mapping and two ...
Biao Ou
wiley +1 more source

