Nonexistence of nontrivial solutions for the p ( x )- Laplacian equations and systems in unbounded domains of ℝ n

Dalmasso, Existence and uniqueness of positive solutions of semilinear elliptic systems , Nonlinear Analysis 39 (2000), no.. Deimling, Nonlinear Functional Analysis , Springer,

Radulescu, V: Singular phenomena in nonlinear elliptic problems: from blow-up boundary solutions to equations with singular nonlinearities. In: Handbook of Differential

Chu, CM, Tang, CL: Existence and multiplicity of positive solutions for semilinear elliptic systems with Sobolev critical exponents.. Adriouch, K, El Hamidi, A: The Nehari manifold

Alves, CO, Ding, YH: Multiplicity of positive solutions to a p -Laplacian equation involving critical nonlinearity.. Liu, CG, Zheng, YQ: Existence of nontrivial solutions for

The result of Korman and Ouyang is one-dimensional analogue of the result of Gidas, Ni and Nirenberg [] for symmetry of positive solutions of semilinear Laplace equations.. Its

Messaoudi, SA, Said-Houari, B: Global nonexistence of positive initial energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. Gao, HJ,

Existence and nonexistence of positive solutions for the fractional coupled system involving generalized p Laplacian Wang and Jiang Advances in Difference Equations (2017) 2017 337 DOI

Liu, “The Existence and Nonexis- tence of Entire Positive Solutions of Semilinear Elliptic Systems with Gradient Term,” Journal of Mathematical Analysis and Applications