Existence of multiple positive solutions for $$ - \Delta u = \lambda u + u^{\frac{{N + 2}}{{N - 2}}} + \mu f\left( x \right)*$$

DOI10.1007/BF02582909zbMath0785.35035MaRDI QIDQ4272269

Yin-Bing Deng

Publication date: 18 January 1994

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

barrier methodvariational methodsnumber of positive solutionsminimal solutionexistence of multiple solutionssemilinear elliptic boundary value problembounded smooth domainPokhozhaev's identity

Mathematics Subject Classification ID

Related Items (10)

Positive solutions of inhomogeneous elliptic equations with indefinite data ⋮ On the existence of positive solutions for a nonhomogeneous elliptic system ⋮ Small perturbations of an indefinite elliptic equation ⋮ Multiplicity of stationary solutions to the Euler--Poisson equations ⋮ Positive stationary solutions and threshold results for the non-homogeneous semilinear parabolic equation with Robin boundary conditions ⋮ Multiple positive solutions for a nonlinear elliptic equation involving Hardy-Sobolev-Maz'ya term ⋮ On inhomogeneous biharmonic equations involving critical exponents ⋮ Existence and properties of multiple positive solutions for semi-linear equations with critical exponents ⋮ Existence of multiple positive solutions for inhomogeneous Neumann problem ⋮ Existence of multiple positive solutions for nonhomogeneous fractional Laplace problems with critical growth

Cites Work

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• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains

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