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Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with $p$-Laplacian
Multiplicity of 1D-concentrating positive solutions Dirichlet problem equation Analysis of PDEs
2012/6/21
We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-\Delta_p u = u^{q-1}$ in expanding annuli.
Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$
Ekeland variational principle Mountain-pass Theorem Variational methods Critical growth Moser-Trudinger inequality
2011/8/23
Abstract: In this paper, we deal with the existence and multiplicity of solutions to the nonuniformly elliptic equation of the N-Lapalcian type with a potential and a nonlinear term of critical expone...
Multiplicity and regularity of large periodic solutions with rational frequency for a class of semilinear wave equations
Multiplicity regularity of large periodic solutions rational frequency semilinear wave equations
2010/12/6
grande, pour une classe d’´equations semilin´eaires avec des conditions p´eriodiques sur le bord: utt − uxx = f(x, u),u(0, t) = u(, t) , ux(0, t) = ux(, t).Notre m´etho...
EXISTENCE AND MULTIPLICITY RESULTS FOR A DEGENERATE ELLIPTIC EQUATIONS
degenerate elliptic equation mountain pass theorem maximal positive solution
2007/12/12
The goal of this paper is to study the multiplicity result of positive solutions of a class of degenerate elliptic equations. On the basis of the mountain pass theorems and the sub- and supersolutions...