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Abstract This paper focuses on a nonhomogeneous quasilinear elliptic boundary blow up problem △ p u = a ( x ) f ( u ) + h ( x )… Click to show full abstract
Abstract This paper focuses on a nonhomogeneous quasilinear elliptic boundary blow up problem △ p u = a ( x ) f ( u ) + h ( x ) in Ω , u | ∂ Ω = ∞ , where p > 1 , Ω is a smooth bounded domain in R n , and h ∈ C ( Ω ) may be sign-changing in Ω and singular on ∂ Ω . We mainly analyze the influences caused by h on the existence of large solutions. Furthermore, it can be verified that any large solution is nonnegative under an additional assumption.
Keywords:
nonhomogeneous quasilinear;
elliptic problem;
solutions nonhomogeneous;
quasilinear elliptic;
large solutions
Journal Title: Nonlinear Analysis: Real World Applications
Year Published: 2018
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Journal Title: Nonlinear Analysis: Real World Applications
Year Published: 2018
Link to full text (if available)
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recommendations!