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In this paper, we prove the existence of infinitely many solutions for the following class of boundary value elliptic problems { − Δ λ u+V( x )u=f( x,u ),x∈Ω, u=0,x∈∂Ω,… Click to show full abstract
In this paper, we prove the existence of infinitely many solutions for the following class of boundary value elliptic problems { − Δ λ u+V( x )u=f( x,u ),x∈Ω, u=0,x∈∂Ω, where Ω is a bounded domain in RN (N ≥ 2), Δλ is a strongly degenerate elliptic operator, V (x) is allowing to be sign-changing and f is a function with a more general super-quadratic growth, which is weaker than the Ambrosetti-Rabinowitz type condition.
Keywords:
solutions semilinear;
many solutions;
infinitely many;
sign changing;
laplace equations;
semilinear laplace
Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2017
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Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2017
Link to full text (if available)
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recommendations!