Positive Solutions for Semilinear Elliptic Equations: Two Simple Models with Several Bifurcations

[1]  A. Quaas,et al.  Large number of fast decay ground states to Matukuma-type equations , 2010 .

[2]  A. Quaas,et al.  On the complex structure of positive solutions to Matukuma-type equations , 2009 .

[3]  J. Campos.  “Bubble-Tower” phenomena in a semilinear elliptic equation with mixed Sobolev growth , 2008 .

[4]  J. Chern,et al.  Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation , 2006 .

[5]  I. Flores.  A resonance phenomenon for ground states of an elliptic equation of Emden-Fowler type , 2004 .

[6]  Russell Johnson,et al.  Ground States and Singular Ground States for Quasilinear Partial Differential Equations with Critical Exponent in the Perturbative Case , 2004 .

[7]  Shusen Yan,et al.  The scalar curvature equation on R N , 2001 .

[8]  Russell Johnson,et al.  Singular ground states for the scalar curvature equation in $\mathbbR^N$ , 2001, Differential and Integral Equations.

[9]  M. Pino,et al.  Ground states of semilinear elliptic equations: a geometric approach , 2000 .

[10]  L. Erbe,et al.  Structure of Positive Radial Solutions of Semilinear Elliptic Equations , 1997 .

[11]  G. Bianchi.  The scalar curvature equation on $\mathbb R^n$ and $S^n$ , 1996, Advances in Differential Equations.

[12]  Shoji Yotsutani,et al.  Existence of Positive Radial Solutions to Δu + K(|x|) up = 0 in Rn , 1995 .

[13]  Shoji Yotsutani,et al.  Structure theorems for positive radial solutions to div (|Du|m-2Du)+K(|x|)uq= 0 in Rn , 1993 .

[14]  Y. Yi,et al.  Singular ground states of semilinear elliptic equations via invariant manifold theory , 1993 .

[15]  Xuefeng Wang,et al.  On the Cauchy problem for reaction-diffusion equations , 1993 .

[16]  G. Bianchi,et al.  An ODE approach to the equation $$\Delta u + Ku^{\frac{{n + 2}}{{n - 2}}} = 0$$ , inRn, inRn , 1992 .

[17]  Shoji Yotsutani,et al.  A generalized Pohozaev identity and its applications , 1990 .

[18]  W. Ni,et al.  A counterexample to the nodal domain conjecture and a related semilinear equation , 1988 .

[19]  J. Serrin,et al.  Nonexistence theorems for singular solutions of quasilinear partial differential equations , 1986 .

[20]  Russell Johnson,et al.  Concerning a theorem of Sell , 1978 .

[21]  M. Franca.  Fowler transformation and radial solutions for quasilinear elliptic equations. Part 2: nonlinearities of mixed type , 2009 .

[22]  M. Franca.  FOWLER TRANSFORMATION AND RADIAL SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS. PART 1: THE SUBCRITICAL AND THE SUPERCRITICAL CASE , 2008 .

[23]  J. Serrin,et al.  Qualitative properties of ground states for singular elliptic equations with weights , 2006 .

[24]  M. Franca.  Classification of positive solutions of $p$-Laplace equation with a growth term , 2004 .

[25]  Bianchi Gabriele,et al.  Non—existence of positive solutions to semilinear elliptic equations on r” or r” through the method of moving planes , 1997 .

[26]  He-Qing Zou.  Symmetry of ground states of semilinear eliptic equations with mixed Sobolev growth , 1996 .

[27]  Y. Yi,et al.  Positive solutions of super-critical elliptic equations and asymptotics , 1993 .