Multiplicity of solutions for gradient systems

We establish the existence of nontrivial solutions Bachelorette for an elliptic system which is resonant both at the origin and at infinity.The resonance is given by an eigenvalue problem with indefinite weight, and Out Of Stock the nonlinear term is permitted to be unbounded.Also, we consider the case where the resonance at infinity and at the ori

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The Gut Microbiome and Substance Use Disorder

Substance use disorders (SUDs) remain a significant public health challenge, affecting tens of millions of individuals worldwide each year.Often comorbid with other psychiatric disorders, SUD can be poly-drug and involve several different substances including copyright, opiates, nicotine, and alcohol.SUD has a strong genetic component.Much of SUD r

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