Existence of classical solutions of quasi-linear non-cooperative elliptic systems
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DOI: 10.1007/s11868-016-0167-7
Abstract: Method of sub- and super-solutions is applied in investigation of solvability in classical $$C^2(\Omega ) \bigcap C(\overline{\Omega })$$C2(Ω)⋂C(Ω¯) sense of quasi-linear non-cooperative weakly coupled systems of elliptic second-order PDE. The result is illustrated on a… read more here.
Keywords: non cooperative; linear non; solutions quasi; classical solutions ... See more keywords
The Global-in-Time Existence of a Classical Solution for Some Free Boundary Problem
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DOI: 10.1134/s0037446619020137
Abstract: We consider the problem with free (unknown) boundary for the one-dimensional diffusion–convection equation. The unknown boundary is found from the additional condition on the free boundary. A dilation of the variables reduces the problem to… read more here.
Keywords: global time; problem; free boundary; existence classical ... See more keywords
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms
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DOI: 10.3390/e24121829
Abstract: This paper deals with the existence of solutions of the elliptic equation with nonlinear gradient term −Δu=f(x,u,∇u) on Ω restricted by the boundary condition u|∂Ω=0, where Ω is a bounded domain in RN with sufficiently… read more here.
Keywords: solutions nonlinear; elliptic equations; nonlinear elliptic; classical solutions ... See more keywords