Results 81 to 90 of about 186 (147)

Supersolutions to degenerated logistic equation type

open access: yes, 2014
In this work we provide a method for building up a strictly positive supersolution for the steady state of a degenerated logistic equation type, i.e., when the weight function vanishes on the boundary of the domain. This degenerated system is related in obtaining the so-called large solutions.
openaire   +3 more sources

Subsolutions and supersolutions in a free boundary problem

open access: yesArkiv för Matematik, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian

open access: yesElectronic Journal of Differential Equations, 2003
We introduce a reduction method for proving the existence of solutions to elliptic equations involving the p-Laplacian operator. The existence of solutions is implied by the existence of a positive essentially weak subsolution on a manifold and the ...
Mohamed Benalili, Youssef Maliki
doaj  

On the Sub and Supersolution Method for Nonlinear Elliptic Equations with a Convective Term, in Orlicz Spaces

open access: yesMathematics
In this note we provide an overview of some existence (with sign information) and regularity results for differential equations, in which the method of sub and supersolutions plays an important role.
Giuseppina Barletta
doaj   +1 more source

A subsolution-supersolution method for quasilinear systems

open access: yesElectronic Journal of Differential Equations, 2005
Summary: Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
Dimitrios A. Kandilakis   +1 more
openaire   +2 more sources

Double phase elliptic inclusions with convection and logarithmic perturbed terms

open access: yesBulletin of Mathematical Sciences
This paper deals with a new double phase elliptic inclusion (DPEI) formulated by a double phase partial differential operator with logarithmic perturbation, a general multivalued convection term defined in the domain and a general multivalued term ...
Shengda Zeng   +2 more
doaj   +1 more source

A remark on the existence of large solutions via sub and supersolutions

open access: yesElectronic Journal of Differential Equations, 2003
We study the boundary blow-up elliptic problem $Delta u=a(x) f(u)$ in a smooth bounded domain $Omegasubset mathbb{R}^N$, with $u|_{partialOmega}=+infty$. Under suitable growth assumptions on $a$ near $partialOmega$ and on $f$ both at zero and at infinity,
Jorge Garcia-Melian
doaj  

Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

open access: yesAdvanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
doaj   +1 more source

Correspondence Principle: A bridge between general potential theories and nonlinear elliptic differential operators

open access: yesBruno Pini Mathematical Analysis Seminar
General potential theories concern the study of functions which are subharmonic with respect to a suitable constraint set $\cF$ in the space of 2-jets. While interesting in their own right, general potential theories are being widely used to study fully ...
F. Reese Harvey, Kevin R. Payne
doaj   +1 more source

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