Results 1 to 10 of about 1,290,485 (220)

Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator

open access: yesBoundary Value Problems, 2023
We reprove a result by Bartsch, Weth, and Willem (Calc. Var. Partial Differ. Equ. 18(3):253–268, 2003) concerning the nondegeneracy of bubble solutions for a critical semilinear elliptic equation involving the polyharmonic operator.
Dandan Yang   +3 more
doaj   +1 more source

Semilinear problems with bounded nonlinear term

open access: yesBoundary Value Problems, 2005
We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term.
Martin Schechter
doaj   +2 more sources

Estimations of a differential operator in spectral parameter problems for elliptic equations with discontinuous nonlinearities

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
The basic boundary value problems for semilinear equations of elliptic type with a spectral parameter and discontinuous nonlinearity are considered in a bounded domain with a sufficiently smooth boundary.
Dmitrij К Potapov
doaj   +3 more sources

On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
doaj   +1 more source

Generalized Keller-Osserman Conditions for Fully Nonlinear Degenerate Elliptic Equations

open access: yesСовременная математика: Фундаментальные направления, 2018
We discuss the existence of entire (i.e. defined on the whole space) subsolutions of fully nonlinear degenerate elliptic equations, giving necessary and sufficient conditions on the coefficients of the lower order terms which extend the classical Keller ...
I Capuzzo Dolcetta, F Leoni, A Vitolo
doaj   +1 more source

A Deep Neural Network Algorithm for Semilinear Elliptic PDEs with Applications in Insurance Mathematics

open access: yesRisks, 2020
In insurance mathematics, optimal control problems over an infinite time horizon arise when computing risk measures. An example of such a risk measure is the expected discounted future dividend payments.
Stefan Kremsner   +2 more
doaj   +1 more source

AN EXISTENCE AND UNIQUENESS OF THE SOLUTION OF SEMILINEAR MONOTONE ELLIPTIC EQUATION WITH THE DATA IN STUMMEL CLASSES

open access: yesBarekeng, 2023
Let  be a bounded open subset of , ,  be a function in Stummel classes , where , and be a semilinear monotone elliptic equation, where  is  symmetric matrix, elliptic, bounded, and  is non decreasing and Lipschitz. By proving a weighted estimation for
Nicky Kurnia Tumalun
doaj   +1 more source

Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents

open access: yesJournal of Function Spaces, 2020
In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents.
Yong-Yi Lan, Xian Hu, Bi-Yun Tang
doaj   +1 more source

On a class of semilinear elliptic problems near critical growth

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
We use Minimax Methods and explore compact embedddings in the context of Orlicz and Orlicz-Sobolev spaces to get existence of weak solutions on a class of semilinear elliptic equations with nonlinearities near critical growth. We consider both biharmonic
J. V. Goncalves, S. Meira
doaj   +1 more source

Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.
Mohammad Mujalli Al-Mahameed
doaj   +1 more source

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