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N-Laplacian equations in $\mathbb{R}^{N}$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition
Mountain pass theorem critical point theory Ambrosetti-Rabinowitz condition
2011/2/28
Let be a bounded domain in RN. In this paper, we consider the following nonlinear elliptic equation of N-Laplacian type:(0.1)−Nu = f (x, u)u ∈ W1.
Multiplicity of solutions for homogeneous elliptic systems with critical growth
homogeneous elliptic systems critical growth
2010/11/24
In this paper we are concerned with the number of nonnegative solutions of the elliptic system $$ {array}{ll} -\Delta u = Q_u(u,v) + 1/2{2^*} H_u(u,v),& {in} \Omega,\vdois\ -\Delta v = Q_v(u,v) + 1/{2...
Regularity for $p$-Harmonic Systems with Gradient Below the Critical Growth
controllable growth p-harmonic systems full regularity
2007/12/11
In this paper, we shall establish that each weak solution of p-harmonic type systems with the gradients below the controllable growth belongs to, H\"older continuity spaces with any H\"older exponent ...