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Nuclei discovered new practical insights via optimized soliton-like pulse analysis in a space fractional-time beta-derivatives equations. [PDF]

open access: yesSci Rep
Fendzi-Donfack E   +10 more
europepmc   +1 more source

The mirror Clemens-Schmid sequence. [PDF]

open access: yesEur J Math
Doran CF, Thompson A.
europepmc   +1 more source
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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

, 1983
Soit Ω un domaine borne dans R n avec n≥3. On etudie l'existence d'une fonction u satisfaisant l'equation elliptique non lineaire -Δu=u P +f(x,u) sur Ω, u>0 sur Ω, u=0 sur ∂Ω, ou p=(n+2)/(n−2), f(x,0)=0 et f(x,u) est une perturbation de u P de bas ordre ...
H. Brezis, L. Nirenberg
semanticscholar   +1 more source

Strongly Elliptic Systems and Boundary Integral Equations

, 2000
Introduction 1. Abstract linear equations 2. Sobolev spaces 3. Strongly elliptic systems 4. Homogeneous distributions 5. Surface potentials 6. Boundary integral equations 7. The Laplace equation 8. The Helmholtz equation 9.
W. McLean
semanticscholar   +1 more source

Nonlinear Elliptic Equations of the Second Order

, 2016
* Introduction* Linear elliptic equations* Quasilinear elliptic equations: Quasilinear uniformly elliptic equations* Mean curvature equations* Minimal surface equations* Fully nonlinear elliptic equations: Fully nonlinear uniformly elliptic equations ...
Qing Han
semanticscholar   +1 more source

Spectrum of an elliptic equation [PDF]

open access: possibleMathematical Notes of the Academy of Sciences of the USSR, 1970
It is shown that the spectrum for the first boundary-value problem for a second-order elliptic equation always lies in the half-plane λ0 ≤Re z, where is the leading eigenvalue to which there corresponds a nonnegative eigenfunction. Apart from λ0, there are no other points of the spectrum on the straight line Re z=λ0.
V. B. Lidskii, A. G. Aslanyan
openaire   +1 more source

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