They can be considered as multidimensional versions of the Darboux problems in . Protter's problem is not well posed in the frame of classical solvability. On the other hand, it is known that the unique generalized solution may have a strong power-type singularity at one boundary point. This...
In this paper we will be concerned with the problem -Δu-1/2Δ(a(x)u~2)u+V(x)u=f(u),x∈R~2,where V is a potential continuous and f : R → R is a superlinear continuous function with exponential subcritical or exponential critical growth. We use as a main tool the Nehari man...
Exponential Growth & Decay | Formula, Function & Graphs Exponential Population Growth | Formula, Calculation & Examples Linear vs. Exponential Functions | Comparison & Examples Exponential Model | Overview & Real-Life Examples Modeling with Exponential & Logarithmic Functions Using Linear & Exponential Fu...
In this paper, we study the existence of normalized solutions to the following nonlinear Schrödinger systems with critical exponential growth:{−Δu+λ1u=f1(u)+βr1|u|r1−2u|v|r2,inR2,−Δv+λ2v=f2(v)+βr2|u|r1|v|r2−2v,inR2,∫R2u2dx=a2and∫R2v2dx=b2,u,v∈H1(R2)...
Multiple solutions for N-Kirchhoff type problems with critical exponential growth in RN In this paper, we consider a class of nonlocal -Kirchhoff type problems involving a nonlinearity term having critical exponential growth. By applying varia... L Qin,Z Yang - 《Nonlinear Analysis》 被引量: 17...
In recent years, several authors have explored the existence and multiplicity of nontrivial solutions for problem (1) using nonlinear semigroup theory [20,27] among other authors. Elliptic problems like(P)have been studied by many authors in a bounded domain or inRN, see for example [5,21–...
The factor y is called the momentum factor which increases with time t and the factor (k − y) is known as the retarding factor which decreases with time. When the process of growth approaches the saturation levelk, the rate of growth tends to zero. Now we have dyyk−y=αdt⇒1...
Symmetry breaking results for problems with exponential growth in the unit disk S. Secchi,E. Serra Full-Text Cite this paper Add to My Lib Abstract: We investigate some asymptotic properties of extrema to a two-dimensional variational problem in the unit disk. Some results about non-radiali...
Learn how to calculate exponential growth with the exponential population growth formula. Walk through solutions using the population growth formula. Updated: 11/21/2023 Table of Contents Exponential Population Growth Formula How to Calculate Exponential Growth Exponential Population Growth Formula Practice...
Existence of solutions for anisotropic Kirchhoff–Boussinesq equations with exponential growth S.M.A. SalirrosasR.D. Carlosrazani@sci.ikiu.ac.irA. Razani