Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent
In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent $$displaylines{ -Delta u = lambda u - alpha u^p+ u^{2^*-1}, quad u >0 , quad hbox{in } Omega,cr u=0, quad hbox ...
Yuanji Cheng
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A proof of validity for multiphase Whitham modulation theory. [PDF]
Bridges TJ, Kostianko A, Schneider G.
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We consider a noncoercive elliptic problem in a bounded domain with a power nonlinearity and measure data. It is known that the problem possesses a stable solution and we prove existence of three further solutions. The proof is based on uniform bounds of
Pavol Quittner
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Boundary value problems for semilinear evolution equations of compact type
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