For an arbitrary periodic Borel measure μ we prove order O(ε) operator-norm resolvent estimates for the solutions to scalar elliptic problems in L 2(ℝ d, dμ ε) with ε-periodic coefficients, ε...
For an arbitrary periodic Borel measure μ we prove order O(ε) operator-norm resolvent estimates for the solutions to scalar elliptic problems in L 2(ℝ d, dμ ε) with ε-periodic coefficients, ε...
We study an elliptic equation related to the Moser–Trudinger inequality on a compact Riemann surface (S,g), Δ gu+λ(ue u 2 −[Formula presented]∫Sue u 2 dv...
We construct a sequence of compact, oriented, embedded, two-dimensional surfaces of genus one into Euclidean 3-space with prescribed, almost constant, mean curvature of the form H(X)=1+A|X| −γ for |X| large, when...
We verify the existence of radial positive solutions for the semilinear equation (Formula presented.) where N ≥ 3, p is close to p* ≔ (N+ 2)/(N − 2), and V is a radial smooth potential. If q is super-critical, namely q >...
In this article we examine how students' accounts of the discipline of sociology change over the course of their undergraduate degrees. Based on a phenomenographic analysis of 86 interviews with 32 sociology and criminology...
We construct a new family of entire solutions to the Yamabe equation −Δu=[Formula presented]|u|[Formula presented]u in D1,2(Rn). If n=3 our solutions have maximal rank, being the first example...
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